253406952 has 96 divisors (see below), whose sum is σ = 732888000. Its totient is φ = 78865920.

The previous prime is 253406929. The next prime is 253406977. The reversal of 253406952 is 259604352.

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

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, 95824 + ... + 98432.

It is an arithmetic number, because the mean of its divisors is an integer number (7634250).

Almost surely, 2^253406952 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 253406952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366444000).

253406952 is an abundant number, since it is smaller than the sum of its proper divisors (479481048).

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

253406952 is a wasteful number, since it uses less digits than its factorization.

253406952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2711 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 253406952 is about 15918.7610070633. The cubic root of 253406952 is about 632.8092834551.

The spelling of 253406952 in words is "two hundred fifty-three million, four hundred six thousand, nine hundred fifty-two".