479629657809 has 27 divisors (see below), whose sum is σ = 724301864923. Its totient is φ = 305820323952.

The previous prime is 479629657807. The next prime is 479629657813. The reversal of 479629657809 is 908756926974.

The square root of 479629657809 is 692553.

It is a perfect power (a square), and thus also a powerful number.

479629657809 is a `hidden beast` number, since 47 + 9 + 6 + 2 + 9 + 6 + 578 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 160436297025 + 319193360784 = 400545^2 + 564972^2 .

It is not a de Polignac number, because 479629657809 - 2¹ = 479629657807 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (479629657807) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 47781139 + ... + 47791175.

Almost surely, 2^479629657809 is an apocalyptic number.

479629657809 is the 692553-rd square number.

479629657809 is the 346277-th centered octagonal number.

It is an amenable number.

479629657809 is a deficient number, since it is larger than the sum of its proper divisors (244672207114).

479629657809 is an frugal number, since it uses more digits than its factorization.

479629657809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20126 (or 10063 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 479629657809 in words is "four hundred seventy-nine billion, six hundred twenty-nine million, six hundred fifty-seven thousand, eight hundred nine".