253086880 has 48 divisors (see below), whose sum is σ = 599745384. Its totient is φ = 100925440.

The previous prime is 253086877. The next prime is 253086881. The reversal of 253086880 is 88680352.

It can be written as a sum of positive squares in 4 ways, for example, as 221771664 + 31315216 = 14892^2 + 5596^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (253086881) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 54240 + ... + 58720.

Almost surely, 2^253086880 is an apocalyptic number.

253086880 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 253086880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299872692).

253086880 is an abundant number, since it is smaller than the sum of its proper divisors (346658504).

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

253086880 is a wasteful number, since it uses less digits than its factorization.

253086880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4849 (or 4841 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 253086880 is about 15908.7045355679. The cubic root of 253086880 is about 632.5427426629.

The spelling of 253086880 in words is "two hundred fifty-three million, eighty-six thousand, eight hundred eighty".