52462800 has 360 divisors, whose sum is σ = 209882400. Its totient is φ = 12026880.

The previous prime is 52462771. The next prime is 52462807. The reversal of 52462800 is 826425.

52462800 is a `hidden beast` number, since 524 + 62 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52462807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 889171 + ... + 889229.

Almost surely, 2^52462800 is an apocalyptic number.

52462800 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 52462800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104941200).

52462800 is an abundant number, since it is smaller than the sum of its proper divisors (157419600).

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

52462800 is a wasteful number, since it uses less digits than its factorization.

52462800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 52462800 is about 7243.1208743193. The cubic root of 52462800 is about 374.3551584472.

The spelling of 52462800 in words is "fifty-two million, four hundred sixty-two thousand, eight hundred".