253731960 has 128 divisors (see below), whose sum is σ = 850176000. Its totient is φ = 67310208.

The previous prime is 253731937. The next prime is 253731971. The reversal of 253731960 is 69137352.

253731960 is a `hidden beast` number, since 2 + 537 + 31 + 96 + 0 = 666.

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 31 ways as a sum of consecutive naturals, for example, 257629 + ... + 258611.

It is an arithmetic number, because the mean of its divisors is an integer number (6642000).

Almost surely, 2^253731960 is an apocalyptic number.

253731960 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 253731960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425088000).

253731960 is an abundant number, since it is smaller than the sum of its proper divisors (596444040).

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

253731960 is a wasteful number, since it uses less digits than its factorization.

253731960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 253731960 is about 15928.9660681414. The cubic root of 253731960 is about 633.0797051540.

The spelling of 253731960 in words is "two hundred fifty-three million, seven hundred thirty-one thousand, nine hundred sixty".