253848352 has 36 divisors (see below), whose sum is σ = 530910450. Its totient is φ = 119453696.

The previous prime is 253848349. The next prime is 253848373.

253848352 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 3 ways, for example, as 253573776 + 274576 = 15924^2 + 524^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4477 + ... + 22972.

Almost surely, 2^253848352 is an apocalyptic number.

It is an amenable number.

253848352 is an abundant number, since it is smaller than the sum of its proper divisors (277062098).

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

253848352 is a wasteful number, since it uses less digits than its factorization.

253848352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27493 (or 27468 counting only the distinct ones).

The product of its digits is 230400, while the sum is 40.

The square root of 253848352 is about 15932.6191192785. The cubic root of 253848352 is about 633.1764925261.

The spelling of 253848352 in words is "two hundred fifty-three million, eight hundred forty-eight thousand, three hundred fifty-two".