538814400 has 84 divisors (see below), whose sum is σ = 1767775992. Its totient is φ = 143682560.

The previous prime is 538814389. The next prime is 538814413. The reversal of 538814400 is 4418835.

It is a congruent number.

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, 51327 + ... + 60926.

Almost surely, 2^538814400 is an apocalyptic number.

538814400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

538814400 is an abundant number, since it is smaller than the sum of its proper divisors (1228961592).

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

538814400 is a wasteful number, since it uses less digits than its factorization.

538814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112278 (or 112263 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 538814400 is about 23212.3760093619. The cubic root of 538814400 is about 813.7288828194.

The spelling of 538814400 in words is "five hundred thirty-eight million, eight hundred fourteen thousand, four hundred".