477531920 has 40 divisors (see below), whose sum is σ = 1137349080. Its totient is φ = 186352640.

The previous prime is 477531919. The next prime is 477531931. The reversal of 477531920 is 29135774.

It can be written as a sum of positive squares in 4 ways, for example, as 30294016 + 447237904 = 5504^2 + 21148^2 .

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

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, 69515 + ... + 76074.

It is an arithmetic number, because the mean of its divisors is an integer number (28433727).

Almost surely, 2^477531920 is an apocalyptic number.

477531920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

477531920 is an abundant number, since it is smaller than the sum of its proper divisors (659817160).

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

477531920 is a wasteful number, since it uses less digits than its factorization.

477531920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145643 (or 145637 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 38.

The square root of 477531920 is about 21852.5037467106. The cubic root of 477531920 is about 781.6292484446.

The spelling of 477531920 in words is "four hundred seventy-seven million, five hundred thirty-one thousand, nine hundred twenty".