538862800 has 180 divisors, whose sum is σ = 1586341920. Its totient is φ = 174908160.

The previous prime is 538862773. The next prime is 538862813. The reversal of 538862800 is 8268835.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 371677 + ... + 373123.

Almost surely, 2^538862800 is an apocalyptic number.

538862800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 538862800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793170960).

538862800 is an abundant number, since it is smaller than the sum of its proper divisors (1047479120).

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

538862800 is a wasteful number, since it uses less digits than its factorization.

538862800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 538862800 is about 23213.4185332536. The cubic root of 538862800 is about 813.7532469906.

The spelling of 538862800 in words is "five hundred thirty-eight million, eight hundred sixty-two thousand, eight hundred".