253598352 has 160 divisors (see below), whose sum is σ = 783949824. Its totient is φ = 69120000.

The previous prime is 253598347. The next prime is 253598353. The reversal of 253598352 is 253895352.

253598352 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 Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (253598353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1010227 + ... + 1010477.

Almost surely, 2^253598352 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 253598352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391974912).

253598352 is an abundant number, since it is smaller than the sum of its proper divisors (530351472).

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

253598352 is a wasteful number, since it uses less digits than its factorization.

253598352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 391 counting only the distinct ones).

The product of its digits is 324000, while the sum is 42.

The square root of 253598352 is about 15924.7716467144. The cubic root of 253598352 is about 632.9685650829.

The spelling of 253598352 in words is "two hundred fifty-three million, five hundred ninety-eight thousand, three hundred fifty-two".