230045040 has 120 divisors (see below), whose sum is σ = 775984560. Its totient is φ = 61074432.

The previous prime is 230045029. The next prime is 230045047. The reversal of 230045040 is 40540032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230045047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203196 + ... + 204324.

It is an arithmetic number, because the mean of its divisors is an integer number (6466538).

Almost surely, 2^230045040 is an apocalyptic number.

230045040 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 230045040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387992280).

230045040 is an abundant number, since it is smaller than the sum of its proper divisors (545939520).

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

230045040 is a wasteful number, since it uses less digits than its factorization.

230045040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 230045040 is about 15167.2357402396. The cubic root of 230045040 is about 612.7325586419.

Adding to 230045040 its reverse (40540032), we get a palindrome (270585072).

The spelling of 230045040 in words is "two hundred thirty million, forty-five thousand, forty".