4258529280 has 342 divisors, whose sum is σ = 15580761066. Its totient is φ = 1075838976.

The previous prime is 4258529263. The next prime is 4258529309. The reversal of 4258529280 is 829258524.

4258529280 is a `hidden beast` number, since 42 + 5 + 8 + 529 + 2 + 80 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3406823424 + 851705856 = 58368^2 + 29184^2 .

It is a tau number, because it is divible by the number of its divisors (342).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 224133111 + ... + 224133129.

Almost surely, 2^4258529280 is an apocalyptic number.

4258529280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4258529280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7790380533).

4258529280 is an abundant number, since it is smaller than the sum of its proper divisors (11322231786).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4258529280 is an frugal number, since it uses more digits than its factorization.

4258529280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 4258529280 is about 65257.4078553539. The cubic root of 4258529280 is about 1620.8887670008. Note that the first 3 decimals are identical.

Multiplying 4258529280 by its sum of digits (45), we get a square (191633817600 = 437760²).

4258529280 divided by its sum of digits (45) gives a square (94633984 = 9728²).

The spelling of 4258529280 in words is "four billion, two hundred fifty-eight million, five hundred twenty-nine thousand, two hundred eighty".