538610900 has 36 divisors (see below), whose sum is σ = 1173687900. Its totient is φ = 214540800.

The previous prime is 538610893. The next prime is 538610909. The reversal of 538610900 is 9016835.

It can be written as a sum of positive squares in 6 ways, for example, as 20775364 + 517835536 = 4558^2 + 22756^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538610909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12926 + ... + 35274.

Almost surely, 2^538610900 is an apocalyptic number.

538610900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

538610900 is an abundant number, since it is smaller than the sum of its proper divisors (635077000).

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

538610900 is a wasteful number, since it uses less digits than its factorization.

538610900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22604 (or 22597 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 538610900 is about 23207.9921578753. The cubic root of 538610900 is about 813.6264265876.

The spelling of 538610900 in words is "five hundred thirty-eight million, six hundred ten thousand, nine hundred".