253082760 has 128 divisors (see below), whose sum is σ = 895795200. Its totient is φ = 55975680.

The previous prime is 253082759. The next prime is 253082761. The reversal of 253082760 is 67280352.

253082760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (253082759) and next prime (253082761).

It is not an unprimeable number, because it can be changed into a prime (253082761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21181 + ... + 30899.

It is an arithmetic number, because the mean of its divisors is an integer number (6998400).

Almost surely, 2^253082760 is an apocalyptic number.

253082760 is a gapful number since it is divisible by the number (20) 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 253082760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447897600).

253082760 is an abundant number, since it is smaller than the sum of its proper divisors (642712440).

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

253082760 is a wasteful number, since it uses less digits than its factorization.

253082760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9771 (or 9767 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 253082760 is about 15908.5750461819. The cubic root of 253082760 is about 632.5393102576.

The spelling of 253082760 in words is "two hundred fifty-three million, eighty-two thousand, seven hundred sixty".