253088464 has 40 divisors (see below), whose sum is σ = 507610368. Its totient is φ = 122115840.

The previous prime is 253088453. The next prime is 253088471. The reversal of 253088464 is 464880352.

253088464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 305619 + ... + 306445.

Almost surely, 2^253088464 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 253088464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253805184).

253088464 is an abundant number, since it is smaller than the sum of its proper divisors (254521904).

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

253088464 is a wasteful number, since it uses less digits than its factorization.

253088464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The square root of 253088464 is about 15908.7543195563. The cubic root of 253088464 is about 632.5440622962.

The spelling of 253088464 in words is "two hundred fifty-three million, eighty-eight thousand, four hundred sixty-four".