516500400 has 240 divisors, whose sum is σ = 1803697056. Its totient is φ = 125583360.

The previous prime is 516500399. The next prime is 516500461. The reversal of 516500400 is 4005615.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1762654 + ... + 1762946.

Almost surely, 2^516500400 is an apocalyptic number.

516500400 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 516500400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901848528).

516500400 is an abundant number, since it is smaller than the sum of its proper divisors (1287196656).

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

516500400 is a wasteful number, since it uses less digits than its factorization.

516500400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 516500400 is about 22726.6451549717. The cubic root of 516500400 is about 802.3371239988.

The spelling of 516500400 in words is "five hundred sixteen million, five hundred thousand, four hundred".