512912400 has 720 divisors, whose sum is σ = 2282228928. Its totient is φ = 96768000.

The previous prime is 512912377. The next prime is 512912401. The reversal of 512912400 is 4219215.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (512912401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8408370 + ... + 8408430.

Almost surely, 2^512912400 is an apocalyptic number.

512912400 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 512912400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141114464).

512912400 is an abundant number, since it is smaller than the sum of its proper divisors (1769316528).

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

512912400 is a wasteful number, since it uses less digits than its factorization.

512912400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 512912400 is about 22647.5694060091. The cubic root of 512912400 is about 800.4749263338.

The spelling of 512912400 in words is "five hundred twelve million, nine hundred twelve thousand, four hundred".