516463400 has 48 divisors (see below), whose sum is σ = 1271419740. Its totient is φ = 194432000.

The previous prime is 516463391. The next prime is 516463457. The reversal of 516463400 is 4364615.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 113337316 + 403126084 = 10646^2 + 20078^2 .

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, 72551 + ... + 79350.

Almost surely, 2^516463400 is an apocalyptic number.

516463400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

516463400 is an abundant number, since it is smaller than the sum of its proper divisors (754956340).

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

516463400 is a wasteful number, since it uses less digits than its factorization.

516463400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151934 (or 151925 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 516463400 is about 22725.8311179151. The cubic root of 516463400 is about 802.3179648123.

The spelling of 516463400 in words is "five hundred sixteen million, four hundred sixty-three thousand, four hundred".