479370528 has 432 divisors, whose sum is σ = 1787456160. Its totient is φ = 124540416.

The previous prime is 479370511. The next prime is 479370533. The reversal of 479370528 is 825073974.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×479370528² = 459592206229997568, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7154751 + ... + 7154817.

It is an arithmetic number, because the mean of its divisors is an integer number (4137630).

Almost surely, 2^479370528 is an apocalyptic number.

479370528 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 479370528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893728080).

479370528 is an abundant number, since it is smaller than the sum of its proper divisors (1308085632).

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

479370528 is a wasteful number, since it uses less digits than its factorization.

479370528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 479370528 is about 21894.5319200937. The cubic root of 479370528 is about 782.6311146814.

The spelling of 479370528 in words is "four hundred seventy-nine million, three hundred seventy thousand, five hundred twenty-eight".