506057600 has 48 divisors (see below), whose sum is σ = 1250128320. Its totient is φ = 202421760.

The previous prime is 506057599. The next prime is 506057603. The reversal of 506057600 is 6750605.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506057603) by changing a digit.

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, 75872 + ... + 82271.

It is an arithmetic number, because the mean of its divisors is an integer number (26044340).

Almost surely, 2^506057600 is an apocalyptic number.

506057600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506057600 is an abundant number, since it is smaller than the sum of its proper divisors (744070720).

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

506057600 is a wasteful number, since it uses less digits than its factorization.

506057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158167 (or 158150 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 29.

The square root of 506057600 is about 22495.7240381367. The cubic root of 506057600 is about 796.8929484103.

The spelling of 506057600 in words is "five hundred six million, fifty-seven thousand, six hundred".