431792478 has 128 divisors (see below), whose sum is σ = 1103155200. Its totient is φ = 124160256.

The previous prime is 431792467. The next prime is 431792483. The reversal of 431792478 is 874297134.

431792478 is a `hidden beast` number, since 4 + 3 + 179 + 2 + 478 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 758578 + ... + 759146.

It is an arithmetic number, because the mean of its divisors is an integer number (8618400).

Almost surely, 2^431792478 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431792478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551577600).

431792478 is an abundant number, since it is smaller than the sum of its proper divisors (671362722).

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

431792478 is a wasteful number, since it uses less digits than its factorization.

431792478 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 657 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 431792478 is about 20779.6168877099. The cubic root of 431792478 is about 755.8315636342.

The spelling of 431792478 in words is "four hundred thirty-one million, seven hundred ninety-two thousand, four hundred seventy-eight".