479939328 has 216 divisors, whose sum is σ = 1564027920. Its totient is φ = 140206080.

The previous prime is 479939323. The next prime is 479939333. The reversal of 479939328 is 823939974.

It is an interprime number because it is at equal distance from previous prime (479939323) and next prime (479939333).

It is a super-2 number, since 2×479939328² = 460683517122183168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (479939323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 734650 + ... + 735302.

It is an arithmetic number, because the mean of its divisors is an integer number (7240870).

Almost surely, 2^479939328 is an apocalyptic number.

479939328 is a gapful number since it is divisible by the number (48) 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 479939328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782013960).

479939328 is an abundant number, since it is smaller than the sum of its proper divisors (1084088592).

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

479939328 is a wasteful number, since it uses less digits than its factorization.

479939328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 698 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 479939328 is about 21907.5176138238. The cubic root of 479939328 is about 782.9405375591.

The spelling of 479939328 in words is "four hundred seventy-nine million, nine hundred thirty-nine thousand, three hundred twenty-eight".