253079984 has 40 divisors (see below), whose sum is σ = 512571360. Its totient is φ = 120895488.

The previous prime is 253079951. The next prime is 253079987. The reversal of 253079984 is 489970352.

It is a happy number.

253079984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (253079987) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42197 + ... + 47819.

It is an arithmetic number, because the mean of its divisors is an integer number (12814284).

Almost surely, 2^253079984 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 253079984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256285680).

253079984 is an abundant number, since it is smaller than the sum of its proper divisors (259491376).

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

253079984 is a wasteful number, since it uses less digits than its factorization.

253079984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5757 (or 5751 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 47.

The square root of 253079984 is about 15908.4877973992. The cubic root of 253079984 is about 632.5369975286.

The spelling of 253079984 in words is "two hundred fifty-three million, seventy-nine thousand, nine hundred eighty-four".