512166400 has 60 divisors (see below), whose sum is σ = 1268963982. Its totient is φ = 204861440.

The previous prime is 512166371. The next prime is 512166409. The reversal of 512166400 is 4661215.

It can be written as a sum of positive squares in 3 ways, for example, as 363131136 + 149035264 = 19056^2 + 12208^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (512166409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7207 + ... + 32806.

Almost surely, 2^512166400 is an apocalyptic number.

512166400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

512166400 is an abundant number, since it is smaller than the sum of its proper divisors (756797582).

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

512166400 is an equidigital number, since it uses as much as digits as its factorization.

512166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40041 (or 40020 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 512166400 is about 22631.0936545276. The cubic root of 512166400 is about 800.0866572795.

The spelling of 512166400 in words is "five hundred twelve million, one hundred sixty-six thousand, four hundred".