253472960 has 168 divisors, whose sum is σ = 674918640. Its totient is φ = 90574848.

The previous prime is 253472951. The next prime is 253472971. The reversal of 253472960 is 69274352.

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 23 ways as a sum of consecutive naturals, for example, 2325386 + ... + 2325494.

Almost surely, 2^253472960 is an apocalyptic number.

253472960 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 253472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337459320).

253472960 is an abundant number, since it is smaller than the sum of its proper divisors (421445680).

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

253472960 is a wasteful number, since it uses less digits than its factorization.

253472960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The square root of 253472960 is about 15920.8341490011. The cubic root of 253472960 is about 632.8642238695.

The spelling of 253472960 in words is "two hundred fifty-three million, four hundred seventy-two thousand, nine hundred sixty".