477414564 has 48 divisors (see below), whose sum is σ = 1216615680. Its totient is φ = 144507040.

The previous prime is 477414563. The next prime is 477414569. The reversal of 477414564 is 465414774.

It is not an unprimeable number, because it can be changed into a prime (477414563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167947 + ... + 170765.

It is an arithmetic number, because the mean of its divisors is an integer number (25346160).

Almost surely, 2^477414564 is an apocalyptic number.

477414564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

477414564 is an abundant number, since it is smaller than the sum of its proper divisors (739201116).

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

477414564 is a wasteful number, since it uses less digits than its factorization.

477414564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4120 (or 4118 counting only the distinct ones).

The product of its digits is 376320, while the sum is 42.

The square root of 477414564 is about 21849.8183974147. The cubic root of 477414564 is about 781.5652133553.

The spelling of 477414564 in words is "four hundred seventy-seven million, four hundred fourteen thousand, five hundred sixty-four".