253855648 has 48 divisors (see below), whose sum is σ = 518966784. Its totient is φ = 122146560.

The previous prime is 253855639. The next prime is 253855649. The reversal of 253855648 is 846558352.

It is a junction number, because it is equal to n+sod(n) for n = 253855598 and 253855607.

It is not an unprimeable number, because it can be changed into a prime (253855649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90361 + ... + 93127.

It is an arithmetic number, because the mean of its divisors is an integer number (10811808).

Almost surely, 2^253855648 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 253855648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259483392).

253855648 is an abundant number, since it is smaller than the sum of its proper divisors (265111136).

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

253855648 is a wasteful number, since it uses less digits than its factorization.

253855648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2885 (or 2877 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 46.

The square root of 253855648 is about 15932.8480818716. The cubic root of 253855648 is about 633.1825586300.

The spelling of 253855648 in words is "two hundred fifty-three million, eight hundred fifty-five thousand, six hundred forty-eight".