253431360 has 336 divisors, whose sum is σ = 1073968896. Its totient is φ = 53415936.

The previous prime is 253431349. The next prime is 253431361. The reversal of 253431360 is 63134352.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (253431361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261597 + ... + 262563.

It is an arithmetic number, because the mean of its divisors is an integer number (3196336).

Almost surely, 2^253431360 is an apocalyptic number.

253431360 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 253431360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536984448).

253431360 is an abundant number, since it is smaller than the sum of its proper divisors (820537536).

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

253431360 is a wasteful number, since it uses less digits than its factorization.

253431360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 253431360 is about 15919.5276311830. The cubic root of 253431360 is about 632.8296000683.

The spelling of 253431360 in words is "two hundred fifty-three million, four hundred thirty-one thousand, three hundred sixty".