472577931 has 24 divisors (see below), whose sum is σ = 799160544. Its totient is φ = 263456640.

The previous prime is 472577929. The next prime is 472577933. The reversal of 472577931 is 139775274.

472577931 is a `hidden beast` number, since 4 + 72 + 577 + 9 + 3 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (472577929) and next prime (472577933).

It is not a de Polignac number, because 472577931 - 2¹ = 472577929 is a prime.

It is a super-2 number, since 2×472577931² = 446659801736481522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (472577933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88896 + ... + 94061.

It is an arithmetic number, because the mean of its divisors is an integer number (33298356).

Almost surely, 2^472577931 is an apocalyptic number.

472577931 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

472577931 is a deficient number, since it is larger than the sum of its proper divisors (326582613).

472577931 is a wasteful number, since it uses less digits than its factorization.

472577931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183011 (or 183008 counting only the distinct ones).

The product of its digits is 370440, while the sum is 45.

The square root of 472577931 is about 21738.8576286796. The cubic root of 472577931 is about 778.9169336917.

The spelling of 472577931 in words is "four hundred seventy-two million, five hundred seventy-seven thousand, nine hundred thirty-one".