253968792 has 128 divisors (see below), whose sum is σ = 806837760. Its totient is φ = 64696320.

The previous prime is 253968791. The next prime is 253968811. The reversal of 253968792 is 297869352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253968791) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96648 + ... + 99240.

It is an arithmetic number, because the mean of its divisors is an integer number (6303420).

Almost surely, 2^253968792 is an apocalyptic number.

253968792 is a gapful number since it is divisible by the number (22) 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 253968792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403418880).

253968792 is an abundant number, since it is smaller than the sum of its proper divisors (552868968).

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

253968792 is a wasteful number, since it uses less digits than its factorization.

253968792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2673 (or 2669 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 51.

The square root of 253968792 is about 15936.3983383950. The cubic root of 253968792 is about 633.2766149269.

The spelling of 253968792 in words is "two hundred fifty-three million, nine hundred sixty-eight thousand, seven hundred ninety-two".