253231776 has 144 divisors (see below), whose sum is σ = 837345600. Its totient is φ = 71092224.

The previous prime is 253231739. The next prime is 253231807. The reversal of 253231776 is 677132352.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×253231776² = 128252664752228352, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 253231776.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117880 + ... + 120008.

It is an arithmetic number, because the mean of its divisors is an integer number (5814900).

Almost surely, 2^253231776 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 253231776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418672800).

253231776 is an abundant number, since it is smaller than the sum of its proper divisors (584113824).

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

253231776 is a wasteful number, since it uses less digits than its factorization.

253231776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211 (or 2200 counting only the distinct ones).

The product of its digits is 52920, while the sum is 36.

The square root of 253231776 is about 15913.2578688338. The cubic root of 253231776 is about 632.6634330070.

The spelling of 253231776 in words is "two hundred fifty-three million, two hundred thirty-one thousand, seven hundred seventy-six".