479595077280 has 480 divisors, whose sum is σ = 1861767851328. Its totient is φ = 116261291520.

The previous prime is 479595077219. The next prime is 479595077347. The reversal of 479595077280 is 82770595974.

479595077280 is a `hidden beast` number, since 4 + 7 + 9 + 59 + 507 + 72 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×479595077280² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17235859 + ... + 17263661.

Almost surely, 2^479595077280 is an apocalyptic number.

479595077280 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 479595077280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930883925664).

479595077280 is an abundant number, since it is smaller than the sum of its proper divisors (1382172774048).

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

479595077280 is a wasteful number, since it uses less digits than its factorization.

479595077280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27863 (or 27824 counting only the distinct ones).

The product of its (nonzero) digits is 44452800, while the sum is 63.

The spelling of 479595077280 in words is "four hundred seventy-nine billion, five hundred ninety-five million, seventy-seven thousand, two hundred eighty".