230328020 has 48 divisors (see below), whose sum is σ = 522320400. Its totient is φ = 84811776.

The previous prime is 230328011. The next prime is 230328023. The reversal of 230328020 is 20823032.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 28858384 + 201469636 = 5372^2 + 14194^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 230327983 and 230328001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230328023) 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, 115754 + ... + 117726.

It is an arithmetic number, because the mean of its divisors is an integer number (10881675).

Almost surely, 2^230328020 is an apocalyptic number.

230328020 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 230328020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261160200).

230328020 is an abundant number, since it is smaller than the sum of its proper divisors (291992380).

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

230328020 is a wasteful number, since it uses less digits than its factorization.

230328020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444 (or 2442 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 230328020 is about 15176.5615341552. The cubic root of 230328020 is about 612.9836978847.

The spelling of 230328020 in words is "two hundred thirty million, three hundred twenty-eight thousand, twenty".