253303842 has 64 divisors (see below), whose sum is σ = 594926208. Its totient is φ = 71040000.

The previous prime is 253303811. The next prime is 253303847. The reversal of 253303842 is 248303352.

It is not an unprimeable number, because it can be changed into a prime (253303847) 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, 66592 + ... + 70292.

It is an arithmetic number, because the mean of its divisors is an integer number (9295722).

Almost surely, 2^253303842 is an apocalyptic number.

253303842 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 253303842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297463104).

253303842 is an abundant number, since it is smaller than the sum of its proper divisors (341622366).

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

253303842 is a wasteful number, since it uses less digits than its factorization.

253303842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3795.

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 253303842 is about 15915.5220461033. The cubic root of 253303842 is about 632.7234428516.

The spelling of 253303842 in words is "two hundred fifty-three million, three hundred three thousand, eight hundred forty-two".