230464416 has 384 divisors, whose sum is σ = 823689216. Its totient is φ = 54743040.

The previous prime is 230464397. The next prime is 230464459. The reversal of 230464416 is 614464032.

230464416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×230464416² = 106227694084442112, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6228750 + ... + 6228786.

It is an arithmetic number, because the mean of its divisors is an integer number (2145024).

Almost surely, 2^230464416 is an apocalyptic number.

230464416 is a gapful number since it is divisible by the number (26) 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 230464416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411844608).

230464416 is an abundant number, since it is smaller than the sum of its proper divisors (593224800).

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

230464416 is a wasteful number, since it uses less digits than its factorization.

230464416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 230464416 is about 15181.0545088278. The cubic root of 230464416 is about 613.1046732167.

The spelling of 230464416 in words is "two hundred thirty million, four hundred sixty-four thousand, four hundred sixteen".