479908800 has 630 divisors, whose sum is σ = 2107491848. Its totient is φ = 104924160.

The previous prime is 479908771. The next prime is 479908811. The reversal of 479908800 is 8809974.

It is a tau number, because it is divible by the number of its divisors (630).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 20865589 + ... + 20865611.

Almost surely, 2^479908800 is an apocalyptic number.

479908800 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 479908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053745924).

479908800 is an abundant number, since it is smaller than the sum of its proper divisors (1627583048).

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

479908800 is a wasteful number, since it uses less digits than its factorization.

479908800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 479908800 is about 21906.8208556148. The cubic root of 479908800 is about 782.9239367694.

Multiplying 479908800 by its product of nonzero digits (145152), we get a square (69659722137600 = 8346240²).

The spelling of 479908800 in words is "four hundred seventy-nine million, nine hundred eight thousand, eight hundred".