1253982384 has 100 divisors (see below), whose sum is σ = 3656024680. Its totient is φ = 414927360.

The previous prime is 1253982377. The next prime is 1253982397. The reversal of 1253982384 is 4832893521.

1253982384 is a `hidden beast` number, since 1 + 2 + 539 + 82 + 38 + 4 = 666.

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 19 ways as a sum of consecutive naturals, for example, 176664 + ... + 183624.

Almost surely, 2^1253982384 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 1253982384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828012340).

1253982384 is an abundant number, since it is smaller than the sum of its proper divisors (2402042296).

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

1253982384 is a wasteful number, since it uses less digits than its factorization.

1253982384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7120 (or 7105 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 1253982384 is about 35411.6136881673. The cubic root of 1253982384 is about 1078.3601037978.

The spelling of 1253982384 in words is "one billion, two hundred fifty-three million, nine hundred eighty-two thousand, three hundred eighty-four".