253381104 has 90 divisors (see below), whose sum is σ = 733127928. Its totient is φ = 81691200.

The previous prime is 253381099. The next prime is 253381111. The reversal of 253381104 is 401183352.

It is a happy number.

253381104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 137469 + ... + 139299.

Almost surely, 2^253381104 is an apocalyptic number.

253381104 is a gapful number since it is divisible by the number (24) 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 253381104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366563964).

253381104 is an abundant number, since it is smaller than the sum of its proper divisors (479746824).

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

253381104 is a wasteful number, since it uses less digits than its factorization.

253381104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1907 (or 1867 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 253381104 is about 15917.9491141290. The cubic root of 253381104 is about 632.7877667992.

The spelling of 253381104 in words is "two hundred fifty-three million, three hundred eighty-one thousand, one hundred four".