253768840 has 64 divisors (see below), whose sum is σ = 616941360. Its totient is φ = 93388800.

The previous prime is 253768817. The next prime is 253768859. The reversal of 253768840 is 48867352.

It can be written as a sum of positive squares in 8 ways, for example, as 125037124 + 128731716 = 11182^2 + 11346^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207912 + ... + 209128.

Almost surely, 2^253768840 is an apocalyptic number.

253768840 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 253768840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308470680).

253768840 is an abundant number, since it is smaller than the sum of its proper divisors (363172520).

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

253768840 is a wasteful number, since it uses less digits than its factorization.

253768840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The square root of 253768840 is about 15930.1236655589. The cubic root of 253768840 is about 633.1103764293.

The spelling of 253768840 in words is "two hundred fifty-three million, seven hundred sixty-eight thousand, eight hundred forty".