253888352 has 24 divisors (see below), whose sum is σ = 521576496. Its totient is φ = 121424512.

The previous prime is 253888337. The next prime is 253888361.

253888352 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 171743 + ... + 173214.

It is an arithmetic number, because the mean of its divisors is an integer number (21732354).

Almost surely, 2^253888352 is an apocalyptic number.

It is an amenable number.

253888352 is an abundant number, since it is smaller than the sum of its proper divisors (267688144).

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

253888352 is a wasteful number, since it uses less digits than its factorization.

253888352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344990 (or 344982 counting only the distinct ones).

The product of its digits is 460800, while the sum is 44.

The square root of 253888352 is about 15933.8743562261. The cubic root of 253888352 is about 633.2097482466.

The spelling of 253888352 in words is "two hundred fifty-three million, eight hundred eighty-eight thousand, three hundred fifty-two".