506572800 has 312 divisors, whose sum is σ = 1791666576. Its totient is φ = 125829120.

The previous prime is 506572793. The next prime is 506572819. The reversal of 506572800 is 8275605.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5222352 + ... + 5222448.

Almost surely, 2^506572800 is an apocalyptic number.

506572800 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 506572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895833288).

506572800 is an abundant number, since it is smaller than the sum of its proper divisors (1285093776).

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

506572800 is a wasteful number, since it uses less digits than its factorization.

506572800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 506572800 is about 22507.1721902153. The cubic root of 506572800 is about 797.1632865433.

The spelling of 506572800 in words is "five hundred six million, five hundred seventy-two thousand, eight hundred".