253401888 has 48 divisors (see below), whose sum is σ = 668606400. Its totient is φ = 84032256.

The previous prime is 253401877. The next prime is 253401893. The reversal of 253401888 is 888104352.

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

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 7 ways as a sum of consecutive naturals, for example, 12213 + ... + 25611.

It is an arithmetic number, because the mean of its divisors is an integer number (13929300).

Almost surely, 2^253401888 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 253401888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334303200).

253401888 is an abundant number, since it is smaller than the sum of its proper divisors (415204512).

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

253401888 is a wasteful number, since it uses less digits than its factorization.

253401888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13609 (or 13601 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 253401888 is about 15918.6019486637. The cubic root of 253401888 is about 632.8050681438.

The spelling of 253401888 in words is "two hundred fifty-three million, four hundred one thousand, eight hundred eighty-eight".