253667232 has 144 divisors (see below), whose sum is σ = 887927040. Its totient is φ = 66894336.

The previous prime is 253667171. The next prime is 253667273. The reversal of 253667232 is 232766352.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21369 + ... + 31047.

It is an arithmetic number, because the mean of its divisors is an integer number (6166160).

Almost surely, 2^253667232 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 253667232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443963520).

253667232 is an abundant number, since it is smaller than the sum of its proper divisors (634259808).

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

253667232 is a wasteful number, since it uses less digits than its factorization.

253667232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9715 (or 9704 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 253667232 is about 15926.9341682572. The cubic root of 253667232 is about 633.0258668854.

The spelling of 253667232 in words is "two hundred fifty-three million, six hundred sixty-seven thousand, two hundred thirty-two".