252683200 has 252 divisors, whose sum is σ = 791714952. Its totient is φ = 78489600.

The previous prime is 252683173. The next prime is 252683219. The reversal of 252683200 is 2386252.

252683200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 862254 + ... + 862546.

It is an arithmetic number, because the mean of its divisors is an integer number (3141726).

Almost surely, 2^252683200 is an apocalyptic number.

252683200 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 252683200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395857476).

252683200 is an abundant number, since it is smaller than the sum of its proper divisors (539031752).

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

252683200 is a wasteful number, since it uses less digits than its factorization.

252683200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 252683200 is about 15896.0120785057. The cubic root of 252683200 is about 632.2062564527.

The spelling of 252683200 in words is "two hundred fifty-two million, six hundred eighty-three thousand, two hundred".