538908800 has 48 divisors (see below), whose sum is σ = 1331281050. Its totient is φ = 215562240.

The previous prime is 538908793. The next prime is 538908803. The reversal of 538908800 is 8809835.

It can be written as a sum of positive squares in 3 ways, for example, as 345365056 + 193543744 = 18584^2 + 13912^2 .

It is not an unprimeable number, because it can be changed into a prime (538908803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 81005 + ... + 87404.

Almost surely, 2^538908800 is an apocalyptic number.

538908800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

538908800 is an abundant number, since it is smaller than the sum of its proper divisors (792372250).

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

538908800 is a wasteful number, since it uses less digits than its factorization.

538908800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168433 (or 168416 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 41.

The square root of 538908800 is about 23214.4093183523. The cubic root of 538908800 is about 813.7764016688.

The spelling of 538908800 in words is "five hundred thirty-eight million, nine hundred eight thousand, eight hundred".