253880532 has 72 divisors (see below), whose sum is σ = 687837696. Its totient is φ = 78750144.

The previous prime is 253880531. The next prime is 253880563. The reversal of 253880532 is 235088352.

253880532 is digitally balanced in base 2 and base 3, because in such bases 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253880531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26493 + ... + 34779.

Almost surely, 2^253880532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253880532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343918848).

253880532 is an abundant number, since it is smaller than the sum of its proper divisors (433957164).

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

253880532 is a wasteful number, since it uses less digits than its factorization.

253880532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8357 (or 8352 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 253880532 is about 15933.6289651793. The cubic root of 253880532 is about 633.2032470279.

The spelling of 253880532 in words is "two hundred fifty-three million, eight hundred eighty thousand, five hundred thirty-two".