479707920 has 200 divisors, whose sum is σ = 1679397720. Its totient is φ = 126904320.

The previous prime is 479707909. The next prime is 479707933. The reversal of 479707920 is 29707974.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 23970816 + 455737104 = 4896^2 + 21348^2 .

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

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 39 ways as a sum of consecutive naturals, for example, 1172676 + ... + 1173084.

Almost surely, 2^479707920 is an apocalyptic number.

479707920 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 479707920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839698860).

479707920 is an abundant number, since it is smaller than the sum of its proper divisors (1199689800).

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

479707920 is a wasteful number, since it uses less digits than its factorization.

479707920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The square root of 479707920 is about 21902.2355023409. The cubic root of 479707920 is about 782.8146828796.

The spelling of 479707920 in words is "four hundred seventy-nine million, seven hundred seven thousand, nine hundred twenty".