253868800 has 54 divisors (see below), whose sum is σ = 628380788. Its totient is φ = 101544960.

The previous prime is 253868777. The next prime is 253868801. The reversal of 253868800 is 8868352.

It is a super-2 number, since 2×253868800² = 128898735226880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (253868801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13434 + ... + 26233.

Almost surely, 2^253868800 is an apocalyptic number.

253868800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253868800 is an abundant number, since it is smaller than the sum of its proper divisors (374511988).

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

253868800 is an equidigital number, since it uses as much as digits as its factorization.

253868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39693 (or 39674 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 253868800 is about 15933.2608087610. The cubic root of 253868800 is about 633.1934932869.

The spelling of 253868800 in words is "two hundred fifty-three million, eight hundred sixty-eight thousand, eight hundred".