479291761 has 24 divisors (see below), whose sum is σ = 551983544. Its totient is φ = 413614080.

The previous prime is 479291753. The next prime is 479291767. The reversal of 479291761 is 167192974.

479291761 = 15480² + 15481².

It can be written as a sum of positive squares in 12 ways, for example, as 34292736 + 444999025 = 5856^2 + 21095^2 .

It is not a de Polignac number, because 479291761 - 2³ = 479291753 is a prime.

It is a super-2 number, since 2×479291761² = 459441184324962242, which contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (479291767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 724771 + ... + 725431.

Almost surely, 2^479291761 is an apocalyptic number.

479291761 is the 15481-st centered square number.

It is an amenable number.

479291761 is a deficient number, since it is larger than the sum of its proper divisors (72691783).

479291761 is a wasteful number, since it uses less digits than its factorization.

479291761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 884 counting only the distinct ones).

The product of its digits is 190512, while the sum is 46.

The square root of 479291761 is about 21892.7330637360. The cubic root of 479291761 is about 782.5882467410.

The spelling of 479291761 in words is "four hundred seventy-nine million, two hundred ninety-one thousand, seven hundred sixty-one".