253030584 has 64 divisors (see below), whose sum is σ = 672084000. Its totient is φ = 79110144.

The previous prime is 253030571. The next prime is 253030627. The reversal of 253030584 is 485030352.

253030584 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141504 + ... + 143280.

Almost surely, 2^253030584 is an apocalyptic number.

253030584 is a gapful number since it is divisible by the number (24) 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 253030584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336042000).

253030584 is an abundant number, since it is smaller than the sum of its proper divisors (419053416).

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

253030584 is a wasteful number, since it uses less digits than its factorization.

253030584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 253030584 is about 15906.9350913367. The cubic root of 253030584 is about 632.4958387870.

The spelling of 253030584 in words is "two hundred fifty-three million, thirty thousand, five hundred eighty-four".