253253760 has 128 divisors (see below), whose sum is σ = 854841600. Its totient is φ = 63553536.

The previous prime is 253253753. The next prime is 253253773. The reversal of 253253760 is 67352352.

It is a tau number, because it is divible by the number of its divisors (128).

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, 28761 + ... + 36519.

It is an arithmetic number, because the mean of its divisors is an integer number (6678450).

Almost surely, 2^253253760 is an apocalyptic number.

253253760 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 253253760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427420800).

253253760 is an abundant number, since it is smaller than the sum of its proper divisors (601587840).

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

253253760 is a wasteful number, since it uses less digits than its factorization.

253253760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7798 (or 7786 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 33.

The square root of 253253760 is about 15913.9485986351. The cubic root of 253253760 is about 632.6817404389.

The spelling of 253253760 in words is "two hundred fifty-three million, two hundred fifty-three thousand, seven hundred sixty".