477164520 has 192 divisors, whose sum is σ = 1838229120. Its totient is φ = 109050624.

The previous prime is 477164497. The next prime is 477164549. The reversal of 477164520 is 25461774.

477164520 is a `hidden beast` number, since 4 + 7 + 7 + 1 + 645 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64534 + ... + 71546.

It is an arithmetic number, because the mean of its divisors is an integer number (9574110).

Almost surely, 2^477164520 is an apocalyptic number.

477164520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 477164520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919114560).

477164520 is an abundant number, since it is smaller than the sum of its proper divisors (1361064600).

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

477164520 is a wasteful number, since it uses less digits than its factorization.

477164520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7046 (or 7030 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 477164520 is about 21844.0957697956. The cubic root of 477164520 is about 781.4287422917.

The spelling of 477164520 in words is "four hundred seventy-seven million, one hundred sixty-four thousand, five hundred twenty".