506602400 has 36 divisors (see below), whose sum is σ = 1236745062. Its totient is φ = 202640640.

The previous prime is 506602387. The next prime is 506602441. The reversal of 506602400 is 4206605.

It can be written as a sum of positive squares in 3 ways, for example, as 456078736 + 50523664 = 21356^2 + 7108^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 315827 + ... + 317426.

Almost surely, 2^506602400 is an apocalyptic number.

506602400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506602400 is an abundant number, since it is smaller than the sum of its proper divisors (730142662).

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

506602400 is a wasteful number, since it uses less digits than its factorization.

506602400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633273 (or 633260 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 506602400 is about 22507.8297487785. The cubic root of 506602400 is about 797.1788128235.

The spelling of 506602400 in words is "five hundred six million, six hundred two thousand, four hundred".