253212960 has 768 divisors, whose sum is σ = 1170505728. Its totient is φ = 44236800.

The previous prime is 253212907. The next prime is 253212979. The reversal of 253212960 is 69212352.

253212960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×253212960² = 128233606223923200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8168145 + ... + 8168175.

It is an arithmetic number, because the mean of its divisors is an integer number (1524096).

Almost surely, 2^253212960 is an apocalyptic number.

253212960 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 253212960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585252864).

253212960 is an abundant number, since it is smaller than the sum of its proper divisors (917292768).

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

253212960 is a wasteful number, since it uses less digits than its factorization.

253212960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 253212960 is about 15912.6666527016. Note that the first 4 decimals coincide. The cubic root of 253212960 is about 632.6477629225.

The spelling of 253212960 in words is "two hundred fifty-three million, two hundred twelve thousand, nine hundred sixty".