230715464720 has 160 divisors (see below), whose sum is σ = 598035160800. Its totient is φ = 82189320192.

The previous prime is 230715464717. The next prime is 230715464723. The reversal of 230715464720 is 27464517032.

It is an interprime number because it is at equal distance from previous prime (230715464717) and next prime (230715464723).

It can be written as a sum of positive squares in 16 ways, for example, as 10067312896 + 220648151824 = 100336^2 + 469732^2 .

It is not an unprimeable number, because it can be changed into a prime (230715464723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69637784 + ... + 69641096.

It is an arithmetic number, because the mean of its divisors is an integer number (3737719755).

Almost surely, 2^230715464720 is an apocalyptic number.

230715464720 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 230715464720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299017580400).

230715464720 is an abundant number, since it is smaller than the sum of its proper divisors (367319696080).

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

230715464720 is a wasteful number, since it uses less digits than its factorization.

230715464720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5677 (or 5671 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 41.

The spelling of 230715464720 in words is "two hundred thirty billion, seven hundred fifteen million, four hundred sixty-four thousand, seven hundred twenty".