52396800 has 108 divisors (see below), whose sum is σ = 172983720. Its totient is φ = 13967360.

The previous prime is 52396769. The next prime is 52396801. The reversal of 52396800 is 869325.

It is a happy number.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (52396801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17836 + ... + 20564.

Almost surely, 2^52396800 is an apocalyptic number.

52396800 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 52396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86491860).

52396800 is an abundant number, since it is smaller than the sum of its proper divisors (120586920).

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

52396800 is a wasteful number, since it uses less digits than its factorization.

52396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2758 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 52396800 is about 7238.5633933813. The cubic root of 52396800 is about 374.1981086987.

The spelling of 52396800 in words is "fifty-two million, three hundred ninety-six thousand, eight hundred".