253632260 has 96 divisors (see below), whose sum is σ = 635040000. Its totient is φ = 83252736.

The previous prime is 253632259. The next prime is 253632271. The reversal of 253632260 is 62236352.

253632260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 726566 + ... + 726914.

It is an arithmetic number, because the mean of its divisors is an integer number (6615000).

Almost surely, 2^253632260 is an apocalyptic number.

253632260 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 253632260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317520000).

253632260 is an abundant number, since it is smaller than the sum of its proper divisors (381407740).

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

253632260 is a wasteful number, since it uses less digits than its factorization.

253632260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

The square root of 253632260 is about 15925.8362417802. The cubic root of 253632260 is about 632.9967747058.

The spelling of 253632260 in words is "two hundred fifty-three million, six hundred thirty-two thousand, two hundred sixty".