253827936 has 72 divisors (see below), whose sum is σ = 725417784. Its totient is φ = 84188160.

The previous prime is 253827919. The next prime is 253827941. The reversal of 253827936 is 639728352.

253827936 is a `hidden beast` number, since 2 + 538 + 27 + 93 + 6 = 666.

253827936 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 253827891 and 253827900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58680 + ... + 62856.

It is an arithmetic number, because the mean of its divisors is an integer number (10075247).

Almost surely, 2^253827936 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 253827936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362708892).

253827936 is an abundant number, since it is smaller than the sum of its proper divisors (471589848).

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

253827936 is a wasteful number, since it uses less digits than its factorization.

253827936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4404 (or 4393 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 253827936 is about 15931.9784082204. The cubic root of 253827936 is about 633.1595174598.

The spelling of 253827936 in words is "two hundred fifty-three million, eight hundred twenty-seven thousand, nine hundred thirty-six".