516415464 has 48 divisors (see below), whose sum is σ = 1425024900. Its totient is φ = 168889344.

The previous prime is 516415451. The next prime is 516415483. The reversal of 516415464 is 464514615.

516415464 is a `hidden beast` number, since 5 + 1 + 641 + 5 + 4 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 513022500 + 3392964 = 22650^2 + 1842^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63849 + ... + 71480.

Almost surely, 2^516415464 is an apocalyptic number.

It is an amenable number.

516415464 is an abundant number, since it is smaller than the sum of its proper divisors (908609436).

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

516415464 is a wasteful number, since it uses less digits than its factorization.

516415464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135394 (or 135387 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 516415464 is about 22724.7764345439. The cubic root of 516415464 is about 802.2931414308.

The spelling of 516415464 in words is "five hundred sixteen million, four hundred fifteen thousand, four hundred sixty-four".