253222560 has 144 divisors (see below), whose sum is σ = 885404520. Its totient is φ = 65863680.

The previous prime is 253222549. The next prime is 253222591. The reversal of 253222560 is 65222352.

It can be written as a sum of positive squares in 4 ways, for example, as 200165904 + 53056656 = 14148^2 + 7284^2 .

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

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, 56896 + ... + 61184.

Almost surely, 2^253222560 is an apocalyptic number.

253222560 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 253222560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442702260).

253222560 is an abundant number, since it is smaller than the sum of its proper divisors (632181960).

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

253222560 is a wasteful number, since it uses less digits than its factorization.

253222560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4351 (or 4340 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 253222560 is about 15912.9682963299. The cubic root of 253222560 is about 632.6557579606.

The spelling of 253222560 in words is "two hundred fifty-three million, two hundred twenty-two thousand, five hundred sixty".