517672464 has 80 divisors (see below), whose sum is σ = 1362769920. Its totient is φ = 169303680.

The previous prime is 517672453. The next prime is 517672483. The reversal of 517672464 is 464276715.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 799789 + ... + 800435.

It is an arithmetic number, because the mean of its divisors is an integer number (17034624).

Almost surely, 2^517672464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 517672464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681384960).

517672464 is an abundant number, since it is smaller than the sum of its proper divisors (845097456).

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

517672464 is a wasteful number, since it uses less digits than its factorization.

517672464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 942 counting only the distinct ones).

The product of its digits is 282240, while the sum is 42.

The square root of 517672464 is about 22752.4166628514. The cubic root of 517672464 is about 802.9435643359.

The spelling of 517672464 in words is "five hundred seventeen million, six hundred seventy-two thousand, four hundred sixty-four".