230456480 has 96 divisors (see below), whose sum is σ = 568995840. Its totient is φ = 88104960.

The previous prime is 230456477. The next prime is 230456489. The reversal of 230456480 is 84654032.

It is a super-2 number, since 2×230456480² = 106220378347980800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (230456489) 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, 480881 + ... + 481359.

It is an arithmetic number, because the mean of its divisors is an integer number (5927040).

Almost surely, 2^230456480 is an apocalyptic number.

230456480 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 230456480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284497920).

230456480 is an abundant number, since it is smaller than the sum of its proper divisors (338539360).

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

230456480 is a wasteful number, since it uses less digits than its factorization.

230456480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 230456480 is about 15180.7931281603. The cubic root of 230456480 is about 613.0976357535.

The spelling of 230456480 in words is "two hundred thirty million, four hundred fifty-six thousand, four hundred eighty".