253965144 has 64 divisors (see below), whose sum is σ = 657930240. Its totient is φ = 81607680.

The previous prime is 253965137. The next prime is 253965167. The reversal of 253965144 is 441569352.

253965144 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 15 ways as a sum of consecutive naturals, for example, 262149 + ... + 263115.

It is an arithmetic number, because the mean of its divisors is an integer number (10280160).

Almost surely, 2^253965144 is an apocalyptic number.

253965144 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 253965144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328965120).

253965144 is an abundant number, since it is smaller than the sum of its proper divisors (403965096).

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

253965144 is a wasteful number, since it uses less digits than its factorization.

253965144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1356 counting only the distinct ones).

The product of its digits is 129600, while the sum is 39.

The square root of 253965144 is about 15936.2838830136. The cubic root of 253965144 is about 633.2735827903.

The spelling of 253965144 in words is "two hundred fifty-three million, nine hundred sixty-five thousand, one hundred forty-four".