253128960 has 432 divisors, whose sum is σ = 1038221184. Its totient is φ = 55738368.

The previous prime is 253128959. The next prime is 253128979. The reversal of 253128960 is 69821352.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3467484 + ... + 3467556.

Almost surely, 2^253128960 is an apocalyptic number.

253128960 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 253128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519110592).

253128960 is an abundant number, since it is smaller than the sum of its proper divisors (785092224).

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

253128960 is a wasteful number, since it uses less digits than its factorization.

253128960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 253128960 is about 15910.0270270041. The cubic root of 253128960 is about 632.5777977180.

The spelling of 253128960 in words is "two hundred fifty-three million, one hundred twenty-eight thousand, nine hundred sixty".