253830960 has 60 divisors (see below), whose sum is σ = 852451392. Its totient is φ = 67688064.

The previous prime is 253830949. The next prime is 253830979. The reversal of 253830960 is 69038352.

253830960 is a `hidden beast` number, since 2 + 538 + 30 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 175552 + ... + 176991.

Almost surely, 2^253830960 is an apocalyptic number.

253830960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253830960 is an abundant number, since it is smaller than the sum of its proper divisors (598620432).

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

253830960 is a wasteful number, since it uses less digits than its factorization.

253830960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352562 (or 352553 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 253830960 is about 15932.0733114055. The cubic root of 253830960 is about 633.1620318491.

The spelling of 253830960 in words is "two hundred fifty-three million, eight hundred thirty thousand, nine hundred sixty".