253375864 has 48 divisors (see below), whose sum is σ = 554019480. Its totient is φ = 108319680.

The previous prime is 253375853. The next prime is 253375867. The reversal of 253375864 is 468573352.

253375864 = 130² + 131² + ... + 913².

It is a self number, because there is not a number n which added to its sum of digits gives 253375864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253375867) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 312019 + ... + 312829.

Almost surely, 2^253375864 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 253375864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277009740).

253375864 is an abundant number, since it is smaller than the sum of its proper divisors (300643616).

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

253375864 is a wasteful number, since it uses less digits than its factorization.

253375864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1617 counting only the distinct ones).

The product of its digits is 604800, while the sum is 43.

The square root of 253375864 is about 15917.7845192100. The cubic root of 253375864 is about 632.7834046866.

The spelling of 253375864 in words is "two hundred fifty-three million, three hundred seventy-five thousand, eight hundred sixty-four".