253724352 has 168 divisors, whose sum is σ = 790498800. Its totient is φ = 71608320.

The previous prime is 253724321. The next prime is 253724353. The reversal of 253724352 is 253427352.

253724352 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (253724353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1401702 + ... + 1401882.

It is an arithmetic number, because the mean of its divisors is an integer number (4705350).

Almost surely, 2^253724352 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 253724352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395249400).

253724352 is an abundant number, since it is smaller than the sum of its proper divisors (536774448).

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

253724352 is a wasteful number, since it uses less digits than its factorization.

253724352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 342 counting only the distinct ones).

The product of its digits is 50400, while the sum is 33.

The square root of 253724352 is about 15928.7272561244. The cubic root of 253724352 is about 633.0733775862.

The spelling of 253724352 in words is "two hundred fifty-three million, seven hundred twenty-four thousand, three hundred fifty-two".