253663488 has 180 divisors, whose sum is σ = 815427228. Its totient is φ = 77967360.

The previous prime is 253663457. The next prime is 253663507. The reversal of 253663488 is 884366352.

It is a happy number.

253663488 is a `hidden beast` number, since 2 + 5 + 3 + 6 + 634 + 8 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 93083904 + 160579584 = 9648^2 + 12672^2 .

It is a super-2 number, since 2×253663488² = 128690330288652288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 269098 + ... + 270038.

Almost surely, 2^253663488 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 253663488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407713614).

253663488 is an abundant number, since it is smaller than the sum of its proper divisors (561763740).

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

253663488 is an equidigital number, since it uses as much as digits as its factorization.

253663488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 959 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 253663488 is about 15926.8166310785. The cubic root of 253663488 is about 633.0227524896.

The spelling of 253663488 in words is "two hundred fifty-three million, six hundred sixty-three thousand, four hundred eighty-eight".