253378368 has 140 divisors (see below), whose sum is σ = 771976612. Its totient is φ = 82114560.

The previous prime is 253378361. The next prime is 253378369. The reversal of 253378368 is 863873352.

253378368 is a `hidden beast` number, since 253 + 37 + 8 + 368 = 666.

253378368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 230796864 + 22581504 = 15192^2 + 4752^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253378361) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 191148 + ... + 192468.

Almost surely, 2^253378368 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 253378368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385988306).

253378368 is an abundant number, since it is smaller than the sum of its proper divisors (518598244).

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

253378368 is a wasteful number, since it uses less digits than its factorization.

253378368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1363 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 253378368 is about 15917.8631731775. The cubic root of 253378368 is about 632.7854891845.

The spelling of 253378368 in words is "two hundred fifty-three million, three hundred seventy-eight thousand, three hundred sixty-eight".