230363040 has 96 divisors (see below), whose sum is σ = 742585536. Its totient is φ = 59996160.

The previous prime is 230363017. The next prime is 230363041. The reversal of 230363040 is 40363032.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 230362998 and 230363016.

It is not an unprimeable number, because it can be changed into a prime (230363041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15060 + ... + 26220.

It is an arithmetic number, because the mean of its divisors is an integer number (7735266).

Almost surely, 2^230363040 is an apocalyptic number.

230363040 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 230363040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371292768).

230363040 is an abundant number, since it is smaller than the sum of its proper divisors (512222496).

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

230363040 is a wasteful number, since it uses less digits than its factorization.

230363040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11222 (or 11214 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 230363040 is about 15177.7152430792. The cubic root of 230363040 is about 613.0147631472.

The spelling of 230363040 in words is "two hundred thirty million, three hundred sixty-three thousand, forty".