479567360 has 160 divisors (see below), whose sum is σ = 1214734752. Its totient is φ = 181370880.

The previous prime is 479567359. The next prime is 479567371. The reversal of 479567360 is 63765974.

It is a happy number.

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

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, 5777879 + ... + 5777961.

Almost surely, 2^479567360 is an apocalyptic number.

479567360 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 479567360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607367376).

479567360 is an abundant number, since it is smaller than the sum of its proper divisors (735167392).

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

479567360 is an equidigital number, since it uses as much as digits as its factorization.

479567360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 47.

The square root of 479567360 is about 21899.0264623796. The cubic root of 479567360 is about 782.7382174751.

The spelling of 479567360 in words is "four hundred seventy-nine million, five hundred sixty-seven thousand, three hundred sixty".