253416960 has 240 divisors, whose sum is σ = 930717216. Its totient is φ = 63504384.

The previous prime is 253416953. The next prime is 253416991. The reversal of 253416960 is 69614352.

It is a happy number.

253416960 is a `hidden beast` number, since 2 + 534 + 1 + 69 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 391357 + ... + 392003.

Almost surely, 2^253416960 is an apocalyptic number.

253416960 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 253416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465358608).

253416960 is an abundant number, since it is smaller than the sum of its proper divisors (677300256).

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

253416960 is a wasteful number, since it uses less digits than its factorization.

253416960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 674 counting only the distinct ones).

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

The square root of 253416960 is about 15919.0753500321. The cubic root of 253416960 is about 632.8176140236.

The spelling of 253416960 in words is "two hundred fifty-three million, four hundred sixteen thousand, nine hundred sixty".