253886752 has 48 divisors (see below), whose sum is σ = 573737472. Its totient is φ = 108334080.

The previous prime is 253886729. The next prime is 253886753. The reversal of 253886752 is 257688352.

It is a happy number.

It is a super-2 number, since 2×253886752² = 128916965682219008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (253886753) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51633 + ... + 56335.

It is an arithmetic number, because the mean of its divisors is an integer number (11952864).

Almost surely, 2^253886752 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 253886752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286868736).

253886752 is an abundant number, since it is smaller than the sum of its proper divisors (319850720).

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

253886752 is a wasteful number, since it uses less digits than its factorization.

253886752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4961 (or 4953 counting only the distinct ones).

The product of its digits is 806400, while the sum is 46.

The square root of 253886752 is about 15933.8241486468. The cubic root of 253886752 is about 633.2084180848.

Subtracting from 253886752 its product of digits (806400), we obtain a palindrome (253080352).

The spelling of 253886752 in words is "two hundred fifty-three million, eight hundred eighty-six thousand, seven hundred fifty-two".