253552200 has 192 divisors, whose sum is σ = 879318720. Its totient is φ = 59904000.

The previous prime is 253552171. The next prime is 253552237. The reversal of 253552200 is 2255352.

253552200 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 (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 270132 + ... + 271068.

It is an arithmetic number, because the mean of its divisors is an integer number (4579785).

Almost surely, 2^253552200 is an apocalyptic number.

253552200 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 253552200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439659360).

253552200 is an abundant number, since it is smaller than the sum of its proper divisors (625766520).

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

253552200 is a wasteful number, since it uses less digits than its factorization.

253552200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 253552200 is about 15923.3225176155. The cubic root of 253552200 is about 632.9301650732.

The spelling of 253552200 in words is "two hundred fifty-three million, five hundred fifty-two thousand, two hundred".