253791216 has 120 divisors (see below), whose sum is σ = 823087200. Its totient is φ = 71497728.

The previous prime is 253791199. The next prime is 253791247. The reversal of 253791216 is 612197352.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71860 + ... + 75308.

It is an arithmetic number, because the mean of its divisors is an integer number (6859060).

Almost surely, 2^253791216 is an apocalyptic number.

253791216 is the 9198-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253791216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411543600).

253791216 is an abundant number, since it is smaller than the sum of its proper divisors (569295984).

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

253791216 is a wasteful number, since it uses less digits than its factorization.

253791216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3543 (or 3534 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 253791216 is about 15930.8259672874. The cubic root of 253791216 is about 633.1289839954.

The spelling of 253791216 in words is "two hundred fifty-three million, seven hundred ninety-one thousand, two hundred sixteen".