253153340 has 96 divisors (see below), whose sum is σ = 619799040. Its totient is φ = 85881600.

The previous prime is 253153331. The next prime is 253153343. The reversal of 253153340 is 43351352.

253153340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×253153340² = 128173227106311200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253153343) 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, 296354 + ... + 297206.

It is an arithmetic number, because the mean of its divisors is an integer number (6456240).

Almost surely, 2^253153340 is an apocalyptic number.

253153340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253153340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309899520).

253153340 is an abundant number, since it is smaller than the sum of its proper divisors (366645700).

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

253153340 is a wasteful number, since it uses less digits than its factorization.

253153340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 26.

The square root of 253153340 is about 15910.7931920442. The cubic root of 253153340 is about 632.5981058797.

The spelling of 253153340 in words is "two hundred fifty-three million, one hundred fifty-three thousand, three hundred forty".