479770368 has 432 divisors, whose sum is σ = 1733639040. Its totient is φ = 116121600.

The previous prime is 479770351. The next prime is 479770373. The reversal of 479770368 is 863077974.

It is a self number, because there is not a number n which added to its sum of digits gives 479770368.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7865058 + ... + 7865118.

Almost surely, 2^479770368 is an apocalyptic number.

479770368 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 479770368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866819520).

479770368 is an abundant number, since it is smaller than the sum of its proper divisors (1253868672).

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

479770368 is a wasteful number, since it uses less digits than its factorization.

479770368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 51.

The square root of 479770368 is about 21903.6610638496. The cubic root of 479770368 is about 782.8486501391.

The spelling of 479770368 in words is "four hundred seventy-nine million, seven hundred seventy thousand, three hundred sixty-eight".