479925600 has 576 divisors, whose sum is σ = 2024870400. Its totient is φ = 97843200.

The previous prime is 479925599. The next prime is 479925643. The reversal of 479925600 is 6529974.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9055174 + ... + 9055226.

It is an arithmetic number, because the mean of its divisors is an integer number (3515400).

Almost surely, 2^479925600 is an apocalyptic number.

479925600 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 479925600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012435200).

479925600 is an abundant number, since it is smaller than the sum of its proper divisors (1544944800).

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

479925600 is a wasteful number, since it uses less digits than its factorization.

479925600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 479925600 is about 21907.2042944781. The cubic root of 479925600 is about 782.9330725112.

The spelling of 479925600 in words is "four hundred seventy-nine million, nine hundred twenty-five thousand, six hundred".