230407752960 has 2880 divisors, whose sum is σ = 1139668992000. Its totient is φ = 43893964800.

The previous prime is 230407752959. The next prime is 230407752989. The reversal of 230407752960 is 69257704032.

230407752960 is a `hidden beast` number, since 23 + 0 + 40 + 7 + 7 + 529 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 319 ways as a sum of consecutive naturals, for example, 7432508145 + ... + 7432508175.

It is an arithmetic number, because the mean of its divisors is an integer number (395718400).

Almost surely, 2^230407752960 is an apocalyptic number.

230407752960 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 230407752960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569834496000).

230407752960 is an abundant number, since it is smaller than the sum of its proper divisors (909261239040).

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

230407752960 is a wasteful number, since it uses less digits than its factorization.

230407752960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 230407752960 in words is "two hundred thirty billion, four hundred seven million, seven hundred fifty-two thousand, nine hundred sixty".