253444352 has 72 divisors (see below), whose sum is σ = 581607936. Its totient is φ = 107974656.

The previous prime is 253444343. The next prime is 253444361.

253444352 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (253444343) and next prime (253444361).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 417233 + ... + 417839.

It is an arithmetic number, because the mean of its divisors is an integer number (8077888).

Almost surely, 2^253444352 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 253444352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290803968).

253444352 is an abundant number, since it is smaller than the sum of its proper divisors (328163584).

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

253444352 is an equidigital number, since it uses as much as digits as its factorization.

253444352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 849 counting only the distinct ones).

The product of its digits is 57600, while the sum is 32.

The square root of 253444352 is about 15919.9356782620. The cubic root of 253444352 is about 632.8404137546.

The spelling of 253444352 in words is "two hundred fifty-three million, four hundred forty-four thousand, three hundred fifty-two".