230338284480 has 336 divisors, whose sum is σ = 827494143840. Its totient is φ = 58748903424.

The previous prime is 230338284479. The next prime is 230338284497. The reversal of 230338284480 is 84482833032.

230338284480 is a `hidden beast` number, since 2 + 30 + 338 + 284 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6268722 + ... + 6305358.

It is an arithmetic number, because the mean of its divisors is an integer number (2462780190).

Almost surely, 2^230338284480 is an apocalyptic number.

230338284480 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 230338284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413747071920).

230338284480 is an abundant number, since it is smaller than the sum of its proper divisors (597155859360).

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

230338284480 is a wasteful number, since it uses less digits than its factorization.

230338284480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36756 (or 36743 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 230338284480 in words is "two hundred thirty billion, three hundred thirty-eight million, two hundred eighty-four thousand, four hundred eighty".