252683800 has 96 divisors (see below), whose sum is σ = 605206800. Its totient is φ = 98081280.

The previous prime is 252683771. The next prime is 252683813. The reversal of 252683800 is 8386252.

252683800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1460514 + ... + 1460686.

Almost surely, 2^252683800 is an apocalyptic number.

252683800 is a gapful number since it is divisible by the number (20) 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 252683800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302603400).

252683800 is an abundant number, since it is smaller than the sum of its proper divisors (352523000).

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

252683800 is a wasteful number, since it uses less digits than its factorization.

252683800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 252683800 is about 15896.0309511526. The cubic root of 252683800 is about 632.2067568467.

The spelling of 252683800 in words is "two hundred fifty-two million, six hundred eighty-three thousand, eight hundred".