4590800 has 60 divisors (see below), whose sum is σ = 11532000. Its totient is φ = 1752960.

The previous prime is 4590797. The next prime is 4590829. The reversal of 4590800 is 80954.

It is a self number, because there is not a number n which added to its sum of digits gives 4590800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8951 + ... + 9449.

It is an arithmetic number, because the mean of its divisors is an integer number (192200).

Almost surely, 2^4590800 is an apocalyptic number.

4590800 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 4590800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5766000).

4590800 is an abundant number, since it is smaller than the sum of its proper divisors (6941200).

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

4590800 is a wasteful number, since it uses less digits than its factorization.

4590800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 4590800 is about 2142.6152244395. The cubic root of 4590800 is about 166.1994023195.

The spelling of 4590800 in words is "four million, five hundred ninety thousand, eight hundred".