479188320 has 192 divisors, whose sum is σ = 1666090944. Its totient is φ = 115015680.

The previous prime is 479188319. The next prime is 479188337. The reversal of 479188320 is 23881974.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254904 + ... + 256776.

It is an arithmetic number, because the mean of its divisors is an integer number (8677557).

Almost surely, 2^479188320 is an apocalyptic number.

479188320 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 479188320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833045472).

479188320 is an abundant number, since it is smaller than the sum of its proper divisors (1186902624).

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

479188320 is a wasteful number, since it uses less digits than its factorization.

479188320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 479188320 is about 21890.3704856725. The cubic root of 479188320 is about 782.5319431546.

The spelling of 479188320 in words is "four hundred seventy-nine million, one hundred eighty-eight thousand, three hundred twenty".