253925760 has 192 divisors, whose sum is σ = 890472240. Its totient is φ = 61501440.

The previous prime is 253925741. The next prime is 253925807. The reversal of 253925760 is 67529352.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 231774 + ... + 232866.

Almost surely, 2^253925760 is an apocalyptic number.

253925760 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 253925760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445236120).

253925760 is an abundant number, since it is smaller than the sum of its proper divisors (636546480).

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

253925760 is a wasteful number, since it uses less digits than its factorization.

253925760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The square root of 253925760 is about 15935.0481643452. The cubic root of 253925760 is about 633.2408458358.

The spelling of 253925760 in words is "two hundred fifty-three million, nine hundred twenty-five thousand, seven hundred sixty".