230136480 has 432 divisors, whose sum is σ = 965502720. Its totient is φ = 48881664.

The previous prime is 230136461. The next prime is 230136499. The reversal of 230136480 is 84631032.

It is a happy number.

230136480 is a `hidden beast` number, since 2 + 3 + 0 + 13 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (230136461) and next prime (230136499).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2913081 + ... + 2913159.

It is an arithmetic number, because the mean of its divisors is an integer number (2234960).

Almost surely, 2^230136480 is an apocalyptic number.

230136480 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 230136480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482751360).

230136480 is an abundant number, since it is smaller than the sum of its proper divisors (735366240).

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

230136480 is a wasteful number, since it uses less digits than its factorization.

230136480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 230136480 is about 15170.2498331438. The cubic root of 230136480 is about 612.8137323739.

It can be divided in two parts, 2301 and 36480, that added together give a triangular number (38781 = T₂₇₈).

The spelling of 230136480 in words is "two hundred thirty million, one hundred thirty-six thousand, four hundred eighty".