479394970560 has 896 divisors, whose sum is σ = 1951490534400. Its totient is φ = 109565706240.

The previous prime is 479394970493. The next prime is 479394970597. The reversal of 479394970560 is 65079493974.

479394970560 is a `hidden beast` number, since 4 + 7 + 93 + 9 + 497 + 0 + 56 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 464079804 + ... + 464080836.

Almost surely, 2^479394970560 is an apocalyptic number.

479394970560 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 479394970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975745267200).

479394970560 is an abundant number, since it is smaller than the sum of its proper divisors (1472095563840).

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

479394970560 is a wasteful number, since it uses less digits than its factorization.

479394970560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 479394970560 in words is "four hundred seventy-nine billion, three hundred ninety-four million, nine hundred seventy thousand, five hundred sixty".