478132913604420 has 72 divisors (see below), whose sum is σ = 1455572376609624. Its totient is φ = 127041813854208.

The previous prime is 478132913604407. The next prime is 478132913604421. The reversal of 478132913604420 is 24406319231874.

478132913604420 is a `hidden beast` number, since 4 + 7 + 8 + 1 + 3 + 2 + 9 + 1 + 3 + 604 + 4 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 228543275844 + 477904370328576 = 478062^2 + 21861024^2 .

It is a super-2 number, since 2×478132913604420² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (478132913604421) 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, 4794704589 + ... + 4794804308.

It is an arithmetic number, because the mean of its divisors is an integer number (20216283008467).

Almost surely, 2^{478132913604420} is an apocalyptic number.

It is an amenable number.

478132913604420 is an abundant number, since it is smaller than the sum of its proper divisors (977439463005204).

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

478132913604420 is a wasteful number, since it uses less digits than its factorization.

478132913604420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9589509189 (or 9589509184 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 478132913604420 in words is "four hundred seventy-eight trillion, one hundred thirty-two billion, nine hundred thirteen million, six hundred four thousand, four hundred twenty".