512608400 has 30 divisors (see below), whose sum is σ = 1231542642. Its totient is φ = 205043200.

The previous prime is 512608399. The next prime is 512608417. The reversal of 512608400 is 4806215.

It can be written as a sum of positive squares in 3 ways, for example, as 4376464 + 508231936 = 2092^2 + 22544^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 512608400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 640361 + ... + 641160.

Almost surely, 2^512608400 is an apocalyptic number.

512608400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

512608400 is an abundant number, since it is smaller than the sum of its proper divisors (718934242).

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

512608400 is a wasteful number, since it uses less digits than its factorization.

512608400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281539 (or 1281528 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 512608400 is about 22640.8568742440. The cubic root of 512608400 is about 800.3167495706.

The spelling of 512608400 in words is "five hundred twelve million, six hundred eight thousand, four hundred".