230414080 has 144 divisors (see below), whose sum is σ = 606773664. Its totient is φ = 83312640.

The previous prime is 230414033. The next prime is 230414087. The reversal of 230414080 is 80414032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230414087) 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, 1014927 + ... + 1015153.

It is an arithmetic number, because the mean of its divisors is an integer number (4213706).

Almost surely, 2^230414080 is an apocalyptic number.

230414080 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 230414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303386832).

230414080 is an abundant number, since it is smaller than the sum of its proper divisors (376359584).

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

230414080 is a wasteful number, since it uses less digits than its factorization.

230414080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 230414080 is about 15179.3965624461. The cubic root of 230414080 is about 613.0600336660.

It can be divided in two parts, 2304 and 14080, that added together give a 14-th power (16384 = 2¹⁴).

The spelling of 230414080 in words is "two hundred thirty million, four hundred fourteen thousand, eighty".