4200480 has 72 divisors (see below), whose sum is σ = 14339052. Its totient is φ = 1119744.

The previous prime is 4200451. The next prime is 4200481. The reversal of 4200480 is 840024.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3825936 + 374544 = 1956^2 + 612^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4200481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19 + ... + 2898.

Almost surely, 2^4200480 is an apocalyptic number.

4200480 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 4200480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7169526).

4200480 is an abundant number, since it is smaller than the sum of its proper divisors (10138572).

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

4200480 is a wasteful number, since it uses less digits than its factorization.

4200480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2938 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4200480 is about 2049.5072578549. The cubic root of 4200480 is about 161.3490107632.

The spelling of 4200480 in words is "four million, two hundred thousand, four hundred eighty".