253424352 has 96 divisors (see below), whose sum is σ = 684754560. Its totient is φ = 82035200.

The previous prime is 253424341. The next prime is 253424377.

253424352 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 571843 + ... + 572285.

It is an arithmetic number, because the mean of its divisors is an integer number (7132860).

Almost surely, 2^253424352 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 253424352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342377280).

253424352 is an abundant number, since it is smaller than the sum of its proper divisors (431330208).

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

253424352 is a wasteful number, since it uses less digits than its factorization.

253424352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 608 counting only the distinct ones).

The product of its digits is 28800, while the sum is 30.

The square root of 253424352 is about 15919.3075226280. The cubic root of 253424352 is about 632.8237669166.

The spelling of 253424352 in words is "two hundred fifty-three million, four hundred twenty-four thousand, three hundred fifty-two".