479822400 has 336 divisors, whose sum is σ = 1814169600. Its totient is φ = 123217920.

The previous prime is 479822381. The next prime is 479822411. The reversal of 479822400 is 4228974.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1252609 + ... + 1252991.

Almost surely, 2^479822400 is an apocalyptic number.

479822400 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 479822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907084800).

479822400 is an abundant number, since it is smaller than the sum of its proper divisors (1334347200).

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

479822400 is a wasteful number, since it uses less digits than its factorization.

479822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 479822400 is about 21904.8487782956. The cubic root of 479822400 is about 782.8769495863.

The spelling of 479822400 in words is "four hundred seventy-nine million, eight hundred twenty-two thousand, four hundred".