538896800 has 72 divisors (see below), whose sum is σ = 1416807756. Its totient is φ = 198973440.

The previous prime is 538896781. The next prime is 538896811. The reversal of 538896800 is 8698835.

It can be written as a sum of positive squares in 6 ways, for example, as 74580496 + 464316304 = 8636^2 + 21548^2 .

It is a super-2 number, since 2×538896800² = 580819522100480000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15509 + ... + 36308.

Almost surely, 2^538896800 is an apocalyptic number.

538896800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

538896800 is an abundant number, since it is smaller than the sum of its proper divisors (877910956).

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

538896800 is a wasteful number, since it uses less digits than its factorization.

538896800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51850 (or 51837 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 47.

The square root of 538896800 is about 23214.1508567511. The cubic root of 538896800 is about 813.7703614450.

The spelling of 538896800 in words is "five hundred thirty-eight million, eight hundred ninety-six thousand, eight hundred".