230481252540 has 432 divisors, whose sum is σ = 880897006080. Its totient is φ = 47747462400.

The previous prime is 230481252527. The next prime is 230481252553. The reversal of 230481252540 is 45252184032.

230481252540 is a `hidden beast` number, since 2 + 30 + 4 + 81 + 2 + 5 + 2 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (230481252527) and next prime (230481252553).

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

It is a junction number, because it is equal to n+sod(n) for n = 230481252495 and 230481252504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 54731035 + ... + 54735245.

It is an arithmetic number, because the mean of its divisors is an integer number (2039113440).

Almost surely, 2^230481252540 is an apocalyptic number.

230481252540 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 230481252540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440448503040).

230481252540 is an abundant number, since it is smaller than the sum of its proper divisors (650415753540).

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

230481252540 is a wasteful number, since it uses less digits than its factorization.

230481252540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4614 (or 4598 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 230481252540 in words is "two hundred thirty billion, four hundred eighty-one million, two hundred fifty-two thousand, five hundred forty".