230577984 has 336 divisors, whose sum is σ = 838760832. Its totient is φ = 58945536.

The previous prime is 230577983. The next prime is 230578009. The reversal of 230577984 is 489775032.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230577983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2778007 + ... + 2778089.

It is an arithmetic number, because the mean of its divisors is an integer number (2496312).

Almost surely, 2^230577984 is an apocalyptic number.

230577984 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 230577984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419380416).

230577984 is an abundant number, since it is smaller than the sum of its proper divisors (608182848).

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

230577984 is a wasteful number, since it uses less digits than its factorization.

230577984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 230577984 is about 15184.7944997619. The cubic root of 230577984 is about 613.2053650265.

The spelling of 230577984 in words is "two hundred thirty million, five hundred seventy-seven thousand, nine hundred eighty-four".