516694464 has 560 divisors, whose sum is σ = 1951731936. Its totient is φ = 132710400.

The previous prime is 516694463. The next prime is 516694483. The reversal of 516694464 is 464496615.

516694464 = 304³ + 305³ + ... + 320³.

It is a happy number.

516694464 is a `hidden beast` number, since 516 + 6 + 94 + 46 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516694463) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12602284 + ... + 12602324.

Almost surely, 2^516694464 is an apocalyptic number.

516694464 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516694464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975865968).

516694464 is an abundant number, since it is smaller than the sum of its proper divisors (1435037472).

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

516694464 is a wasteful number, since it uses less digits than its factorization.

516694464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 87 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 516694464 is about 22730.9142798964. The cubic root of 516694464 is about 802.4375984320.

The spelling of 516694464 in words is "five hundred sixteen million, six hundred ninety-four thousand, four hundred sixty-four".