253638980 has 192 divisors, whose sum is σ = 696729600. Its totient is φ = 75479040.

The previous prime is 253638971. The next prime is 253639003. The reversal of 253638980 is 89836352.

253638980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3210581 + ... + 3210659.

It is an arithmetic number, because the mean of its divisors is an integer number (3628800).

Almost surely, 2^253638980 is an apocalyptic number.

253638980 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 253638980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348364800).

253638980 is an abundant number, since it is smaller than the sum of its proper divisors (443090620).

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

253638980 is a wasteful number, since it uses less digits than its factorization.

253638980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The square root of 253638980 is about 15926.0472183150. The cubic root of 253638980 is about 633.0023650840.

It can be divided in two parts, 25363 and 8980, that added together give a palindrome (34343).

The spelling of 253638980 in words is "two hundred fifty-three million, six hundred thirty-eight thousand, nine hundred eighty".