230482080 has 144 divisors (see below), whose sum is σ = 820834560. Its totient is φ = 58781184.

The previous prime is 230482079. The next prime is 230482081. The reversal of 230482080 is 80284032.

It is an interprime number because it is at equal distance from previous prime (230482079) and next prime (230482081).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×230482080² = 106243978402252800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230482081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29641 + ... + 36599.

It is an arithmetic number, because the mean of its divisors is an integer number (5700240).

Almost surely, 2^230482080 is an apocalyptic number.

230482080 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 230482080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410417280).

230482080 is an abundant number, since it is smaller than the sum of its proper divisors (590352480).

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

230482080 is a wasteful number, since it uses less digits than its factorization.

230482080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7003 (or 6992 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 230482080 is about 15181.6362754480. The cubic root of 230482080 is about 613.1203366677.

The spelling of 230482080 in words is "two hundred thirty million, four hundred eighty-two thousand, eighty".