230457584 has 60 divisors (see below), whose sum is σ = 521533584. Its totient is φ = 98652288.

The previous prime is 230457583. The next prime is 230457589. The reversal of 230457584 is 485754032.

It is a happy number.

It is a super-2 number, since 2×230457584² = 106221396046234112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230457583) 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 11 ways as a sum of consecutive naturals, for example, 268484 + ... + 269340.

Almost surely, 2^230457584 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 230457584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260766792).

230457584 is an abundant number, since it is smaller than the sum of its proper divisors (291076000).

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

230457584 is an frugal number, since it uses more digits than its factorization.

230457584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 38.

The square root of 230457584 is about 15180.8294898533. The cubic root of 230457584 is about 613.0986147651.

The spelling of 230457584 in words is "two hundred thirty million, four hundred fifty-seven thousand, five hundred eighty-four".