478431134874 has 256 divisors, whose sum is σ = 1418950656000. Its totient is φ = 115730907840.

The previous prime is 478431134873. The next prime is 478431134887.

It is a happy number.

478431134874 is a `hidden beast` number, since 4 + 7 + 8 + 43 + 113 + 487 + 4 = 666.

478431134874 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 478431134874.

It is not an unprimeable number, because it can be changed into a prime (478431134873) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4609797 + ... + 4712439.

It is an arithmetic number, because the mean of its divisors is an integer number (5542776000).

Almost surely, 2^478431134874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478431134874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709475328000).

478431134874 is an abundant number, since it is smaller than the sum of its proper divisors (940519521126).

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

478431134874 is a wasteful number, since it uses less digits than its factorization.

478431134874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102750 (or 102744 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The spelling of 478431134874 in words is "four hundred seventy-eight billion, four hundred thirty-one million, one hundred thirty-four thousand, eight hundred seventy-four".