230905920 has 112 divisors (see below), whose sum is σ = 837883008. Its totient is φ = 52776960.

The previous prime is 230905907. The next prime is 230905957. The reversal of 230905920 is 29509032.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10461 + ... + 23900.

Almost surely, 2^230905920 is an apocalyptic number.

230905920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230905920 is an abundant number, since it is smaller than the sum of its proper divisors (606977088).

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

230905920 is a wasteful number, since it uses less digits than its factorization.

230905920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34388 (or 34378 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 230905920 is about 15195.5888336056. The cubic root of 230905920 is about 613.4959346246.

The spelling of 230905920 in words is "two hundred thirty million, nine hundred five thousand, nine hundred twenty".