253805688 has 96 divisors (see below), whose sum is σ = 704246400. Its totient is φ = 82555200.

The previous prime is 253805677. The next prime is 253805701. The reversal of 253805688 is 886508352.

It is a happy number.

253805688 is a `hidden beast` number, since 2 + 5 + 3 + 80 + 568 + 8 = 666.

It is a super-2 number, since 2×253805688² = 128834654522306688, which contains 22 as substring.

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, 669483 + ... + 669861.

It is an arithmetic number, because the mean of its divisors is an integer number (7335900).

Almost surely, 2^253805688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253805688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352123200).

253805688 is an abundant number, since it is smaller than the sum of its proper divisors (450440712).

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

253805688 is a wasteful number, since it uses less digits than its factorization.

253805688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 253805688 is about 15931.2801745497. The cubic root of 253805688 is about 633.1410181242.

The spelling of 253805688 in words is "two hundred fifty-three million, eight hundred five thousand, six hundred eighty-eight".