253678152 has 128 divisors (see below), whose sum is σ = 799868160. Its totient is φ = 65249280.

The previous prime is 253678141. The next prime is 253678157. The reversal of 253678152 is 251876352.

253678152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 253678152.

It is not an unprimeable number, because it can be changed into a prime (253678157) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88128 + ... + 90960.

It is an arithmetic number, because the mean of its divisors is an integer number (6248970).

Almost surely, 2^253678152 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 253678152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399934080).

253678152 is an abundant number, since it is smaller than the sum of its proper divisors (546190008).

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

253678152 is a wasteful number, since it uses less digits than its factorization.

253678152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2903 (or 2899 counting only the distinct ones).

The product of its digits is 100800, while the sum is 39.

The square root of 253678152 is about 15927.2769800742. The cubic root of 253678152 is about 633.0349503649.

The spelling of 253678152 in words is "two hundred fifty-three million, six hundred seventy-eight thousand, one hundred fifty-two".