479756400 has 120 divisors (see below), whose sum is σ = 1542197424. Its totient is φ = 127488000.

The previous prime is 479756383. The next prime is 479756419. The reversal of 479756400 is 4657974.

479756400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 480702 + ... + 481698.

Almost surely, 2^479756400 is an apocalyptic number.

479756400 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 479756400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771098712).

479756400 is an abundant number, since it is smaller than the sum of its proper divisors (1062441024).

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

479756400 is a wasteful number, since it uses less digits than its factorization.

479756400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 479756400 is about 21903.3422107221. The cubic root of 479756400 is about 782.8410527990.

The spelling of 479756400 in words is "four hundred seventy-nine million, seven hundred fifty-six thousand, four hundred".