478131920 has 40 divisors (see below), whose sum is σ = 1270466304. Its totient is φ = 163930752.

The previous prime is 478131917. The next prime is 478131947. The reversal of 478131920 is 29131874.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×478131920² = 457220265845772800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 426344 + ... + 427463.

Almost surely, 2^478131920 is an apocalyptic number.

478131920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

478131920 is an abundant number, since it is smaller than the sum of its proper divisors (792334384).

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

478131920 is a wasteful number, since it uses less digits than its factorization.

478131920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853827 (or 853821 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 478131920 is about 21866.2278411252. The cubic root of 478131920 is about 781.9564735292.

The spelling of 478131920 in words is "four hundred seventy-eight million, one hundred thirty-one thousand, nine hundred twenty".