253482048 has 112 divisors (see below), whose sum is σ = 754806720. Its totient is φ = 84447360.

The previous prime is 253482043. The next prime is 253482077. The reversal of 253482048 is 840284352.

253482048 is a `hidden beast` number, since 2 + 534 + 82 + 0 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (253482041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 139063 + ... + 140873.

Almost surely, 2^253482048 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 253482048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377403360).

253482048 is an abundant number, since it is smaller than the sum of its proper divisors (501324672).

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

253482048 is an frugal number, since it uses more digits than its factorization.

253482048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 253482048 is about 15921.1195586240. The cubic root of 253482048 is about 632.8717873342.

The spelling of 253482048 in words is "two hundred fifty-three million, four hundred eighty-two thousand, forty-eight".