512252400 has 240 divisors, whose sum is σ = 1808955648. Its totient is φ = 122880000.

The previous prime is 512252387. The next prime is 512252417. The reversal of 512252400 is 4252215.

It is a happy number.

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

It is a congruent number.

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, 1993072 + ... + 1993328.

Almost surely, 2^512252400 is an apocalyptic number.

512252400 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 512252400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904477824).

512252400 is an abundant number, since it is smaller than the sum of its proper divisors (1296703248).

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

512252400 is a wasteful number, since it uses less digits than its factorization.

512252400 is an evil number, because the sum of its binary digits is even.

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

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 512252400 is about 22632.9936155163. The cubic root of 512252400 is about 800.1314367376.

The spelling of 512252400 in words is "five hundred twelve million, two hundred fifty-two thousand, four hundred".