538830400 has 42 divisors (see below), whose sum is σ = 1325863490. Its totient is φ = 215531520.

The previous prime is 538830349. The next prime is 538830427. The reversal of 538830400 is 4038835.

It can be written as a sum of positive squares in 3 ways, for example, as 34199104 + 504631296 = 5848^2 + 22464^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 166785 + ... + 169984.

Almost surely, 2^538830400 is an apocalyptic number.

538830400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

538830400 is an abundant number, since it is smaller than the sum of its proper divisors (787033090).

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

538830400 is a wasteful number, since it uses less digits than its factorization.

538830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336791 (or 336776 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 538830400 is about 23212.7206505399. The cubic root of 538830400 is about 813.7369372523.

The spelling of 538830400 in words is "five hundred thirty-eight million, eight hundred thirty thousand, four hundred".