230289480 has 320 divisors, whose sum is σ = 849158640. Its totient is φ = 55738368.

The previous prime is 230289461. The next prime is 230289487. The reversal of 230289480 is 84982032.

230289480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 110124036 + 120165444 = 10494^2 + 10962^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230289487) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2037904 + ... + 2038016.

Almost surely, 2^230289480 is an apocalyptic number.

230289480 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 230289480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424579320).

230289480 is an abundant number, since it is smaller than the sum of its proper divisors (618869160).

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

230289480 is a wasteful number, since it uses less digits than its factorization.

230289480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 230289480 is about 15175.2917599630. The cubic root of 230289480 is about 612.9495064888.

The spelling of 230289480 in words is "two hundred thirty million, two hundred eighty-nine thousand, four hundred eighty".