253887648 has 48 divisors (see below), whose sum is σ = 761664960. Its totient is φ = 72539136.

The previous prime is 253887637. The next prime is 253887677. The reversal of 253887648 is 846788352.

It is a happy number.

253887648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 253887648.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 188233 + ... + 189576.

It is an arithmetic number, because the mean of its divisors is an integer number (15868020).

Almost surely, 2^253887648 is an apocalyptic number.

253887648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

253887648 is an abundant number, since it is smaller than the sum of its proper divisors (507777312).

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

253887648 is a wasteful number, since it uses less digits than its factorization.

253887648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377829 (or 377821 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 51.

The square root of 253887648 is about 15933.8522649107. The cubic root of 253887648 is about 633.2091629761.

The spelling of 253887648 in words is "two hundred fifty-three million, eight hundred eighty-seven thousand, six hundred forty-eight".