253596960 has 192 divisors, whose sum is σ = 907200000. Its totient is φ = 66134016.

The previous prime is 253596953. The next prime is 253596977. The reversal of 253596960 is 69695352.

253596960 is a `hidden beast` number, since 2 + 53 + 596 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×253596960² = 128622836242483200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202416 + ... + 203664.

It is an arithmetic number, because the mean of its divisors is an integer number (4725000).

Almost surely, 2^253596960 is an apocalyptic number.

253596960 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 253596960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453600000).

253596960 is an abundant number, since it is smaller than the sum of its proper divisors (653603040).

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

253596960 is a wasteful number, since it uses less digits than its factorization.

253596960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The square root of 253596960 is about 15924.7279411612. The cubic root of 253596960 is about 632.9674069604.

The spelling of 253596960 in words is "two hundred fifty-three million, five hundred ninety-six thousand, nine hundred sixty".