230307840 has 576 divisors, whose sum is σ = 1008352800. Its totient is φ = 49545216.

The previous prime is 230307829. The next prime is 230307841. The reversal of 230307840 is 48703032.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230307841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13547512 + ... + 13547528.

Almost surely, 2^230307840 is an apocalyptic number.

230307840 is a gapful number since it is divisible by the number (20) 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 230307840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504176400).

230307840 is an abundant number, since it is smaller than the sum of its proper divisors (778044960).

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

230307840 is a wasteful number, since it uses less digits than its factorization.

230307840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 230307840 is about 15175.8966786151. The cubic root of 230307840 is about 612.9657953410.

The spelling of 230307840 in words is "two hundred thirty million, three hundred seven thousand, eight hundred forty".