253161846 has 48 divisors (see below), whose sum is σ = 632995584. Its totient is φ = 71626032.

The previous prime is 253161829. The next prime is 253161847. The reversal of 253161846 is 648161352.

It is a happy number.

253161846 is a `hidden beast` number, since 2 + 5 + 31 + 618 + 4 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 253161846.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253161847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3225 + ... + 22731.

It is an arithmetic number, because the mean of its divisors is an integer number (13187408).

Almost surely, 2^253161846 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253161846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316497792).

253161846 is an abundant number, since it is smaller than the sum of its proper divisors (379833738).

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

253161846 is a wasteful number, since it uses less digits than its factorization.

253161846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19625 (or 19622 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 253161846 is about 15911.0604926259. The cubic root of 253161846 is about 632.6051909390.

The spelling of 253161846 in words is "two hundred fifty-three million, one hundred sixty-one thousand, eight hundred forty-six".