516678400 has 216 divisors, whose sum is σ = 1541012480. Its totient is φ = 167546880.

The previous prime is 516678391. The next prime is 516678439. The reversal of 516678400 is 4876615.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 516678400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 850897 + ... + 851503.

Almost surely, 2^516678400 is an apocalyptic number.

516678400 is a gapful number since it is divisible by the number (50) 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 516678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770506240).

516678400 is an abundant number, since it is smaller than the sum of its proper divisors (1024334080).

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

516678400 is a wasteful number, since it uses less digits than its factorization.

516678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 516678400 is about 22730.5609257669. The cubic root of 516678400 is about 802.4292824335.

The spelling of 516678400 in words is "five hundred sixteen million, six hundred seventy-eight thousand, four hundred".