479700480 has 160 divisors (see below), whose sum is σ = 1752816384. Its totient is φ = 109633536.

The previous prime is 479700457. The next prime is 479700491. The reversal of 479700480 is 84007974.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×479700480² = 460225101024460800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49299 + ... + 58221.

Almost surely, 2^479700480 is an apocalyptic number.

479700480 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 479700480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876408192).

479700480 is an abundant number, since it is smaller than the sum of its proper divisors (1273115904).

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

479700480 is an equidigital number, since it uses as much as digits as its factorization.

479700480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8956 (or 8940 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 479700480 is about 21902.0656560061. The cubic root of 479700480 is about 782.8106358536.

The spelling of 479700480 in words is "four hundred seventy-nine million, seven hundred thousand, four hundred eighty".