230483957760 has 1440 divisors, whose sum is σ = 988286579280. Its totient is φ = 51204980736.

The previous prime is 230483957741. The next prime is 230483957777. The reversal of 230483957760 is 67759384032.

230483957760 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 8 + 3 + 9 + 577 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 230483957697 and 230483957706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2154055627 + ... + 2154055733.

Almost surely, 2^230483957760 is an apocalyptic number.

230483957760 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 230483957760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494143289640).

230483957760 is an abundant number, since it is smaller than the sum of its proper divisors (757802621520).

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

230483957760 is a wasteful number, since it uses less digits than its factorization.

230483957760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 230483957760 in words is "two hundred thirty billion, four hundred eighty-three million, nine hundred fifty-seven thousand, seven hundred sixty".