506155600 has 60 divisors (see below), whose sum is σ = 1255296640. Its totient is φ = 195926400.

The previous prime is 506155571. The next prime is 506155609. The reversal of 506155600 is 6551605.

It is a super-2 number, since 2×506155600² = 512386982822720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506155609) 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 11 ways as a sum of consecutive naturals, for example, 8010 + ... + 32809.

Almost surely, 2^506155600 is an apocalyptic number.

506155600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506155600 is an abundant number, since it is smaller than the sum of its proper divisors (749141040).

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

506155600 is a wasteful number, since it uses less digits than its factorization.

506155600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40868 (or 40857 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

The square root of 506155600 is about 22497.9021244204. The cubic root of 506155600 is about 796.9443855513.

The spelling of 506155600 in words is "five hundred six million, one hundred fifty-five thousand, six hundred".