506570400 has 648 divisors, whose sum is σ = 2246418720. Its totient is φ = 104924160.

The previous prime is 506570399. The next prime is 506570431. The reversal of 506570400 is 4075605.

506570400 is a `hidden beast` number, since 5 + 0 + 657 + 0 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×506570400² = 513227140312320000, which contains 22 as substring.

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 107 ways as a sum of consecutive naturals, for example, 22024789 + ... + 22024811.

Almost surely, 2^506570400 is an apocalyptic number.

506570400 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 506570400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123209360).

506570400 is an abundant number, since it is smaller than the sum of its proper divisors (1739848320).

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

506570400 is a wasteful number, since it uses less digits than its factorization.

506570400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 506570400 is about 22507.1188738141. The cubic root of 506570400 is about 797.1620276292.

The spelling of 506570400 in words is "five hundred six million, five hundred seventy thousand, four hundred".