253285480 has 128 divisors (see below), whose sum is σ = 676051200. Its totient is φ = 83607552.

The previous prime is 253285441. The next prime is 253285517. The reversal of 253285480 is 84582352.

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 31 ways as a sum of consecutive naturals, for example, 1312264 + ... + 1312456.

It is an arithmetic number, because the mean of its divisors is an integer number (5281650).

Almost surely, 2^253285480 is an apocalyptic number.

253285480 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 253285480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338025600).

253285480 is an abundant number, since it is smaller than the sum of its proper divisors (422765720).

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

253285480 is a wasteful number, since it uses less digits than its factorization.

253285480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

The square root of 253285480 is about 15914.9451774111. The cubic root of 253285480 is about 632.7081537710.

The spelling of 253285480 in words is "two hundred fifty-three million, two hundred eighty-five thousand, four hundred eighty".