253080864 has 72 divisors (see below), whose sum is σ = 737286732. Its totient is φ = 82298880.

The previous prime is 253080859. The next prime is 253080899. The reversal of 253080864 is 468080352.

It can be written as a sum of positive squares in 2 ways, for example, as 187470864 + 65610000 = 13692^2 + 8100^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1092 + ... + 22524.

Almost surely, 2^253080864 is an apocalyptic number.

253080864 is a gapful number since it is divisible by the number (24) 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 253080864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368643366).

253080864 is an abundant number, since it is smaller than the sum of its proper divisors (484205868).

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

253080864 is a wasteful number, since it uses less digits than its factorization.

253080864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21490 (or 21479 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 253080864 is about 15908.5154555666. The cubic root of 253080864 is about 632.5377306722.

The spelling of 253080864 in words is "two hundred fifty-three million, eighty thousand, eight hundred sixty-four".