253919400 has 96 divisors (see below), whose sum is σ = 899615040. Its totient is φ = 58037760.

The previous prime is 253919387. The next prime is 253919417. The reversal of 253919400 is 4919352.

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, 26029 + ... + 34428.

It is an arithmetic number, because the mean of its divisors is an integer number (9370990).

Almost surely, 2^253919400 is an apocalyptic number.

253919400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253919400 is an abundant number, since it is smaller than the sum of its proper divisors (645695640).

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

253919400 is a wasteful number, since it uses less digits than its factorization.

253919400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60483 (or 60474 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 253919400 is about 15934.8486029833. The cubic root of 253919400 is about 633.2355589291.

The spelling of 253919400 in words is "two hundred fifty-three million, nine hundred nineteen thousand, four hundred".