253872584 has 16 divisors (see below), whose sum is σ = 544012800. Its totient is φ = 108802512.

The previous prime is 253872569. The next prime is 253872599. The reversal of 253872584 is 485278352.

It is an interprime number because it is at equal distance from previous prime (253872569) and next prime (253872599).

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

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 3 ways as a sum of consecutive naturals, for example, 2266664 + ... + 2266775.

It is an arithmetic number, because the mean of its divisors is an integer number (34000800).

Almost surely, 2^253872584 is an apocalyptic number.

It is an amenable number.

253872584 is an abundant number, since it is smaller than the sum of its proper divisors (290140216).

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

253872584 is a wasteful number, since it uses less digits than its factorization.

253872584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4533452 (or 4533448 counting only the distinct ones).

The product of its digits is 537600, while the sum is 44.

The square root of 253872584 is about 15933.3795536289. The cubic root of 253872584 is about 633.1966392587.

The spelling of 253872584 in words is "two hundred fifty-three million, eight hundred seventy-two thousand, five hundred eighty-four".