253912320 has 360 divisors, whose sum is σ = 949724160. Its totient is φ = 64696320.

The previous prime is 253912319. The next prime is 253912331. The reversal of 253912320 is 23219352.

253912320 is a `hidden beast` number, since 2 + 539 + 123 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3214041 + ... + 3214119.

Almost surely, 2^253912320 is an apocalyptic number.

253912320 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 253912320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474862080).

253912320 is an abundant number, since it is smaller than the sum of its proper divisors (695811840).

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

253912320 is an equidigital number, since it uses as much as digits as its factorization.

253912320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 253912320 is about 15934.6264468296. The cubic root of 253912320 is about 633.2296734008.

The spelling of 253912320 in words is "two hundred fifty-three million, nine hundred twelve thousand, three hundred twenty".