230030025984 has 720 divisors, whose sum is σ = 783522432000. Its totient is φ = 66502840320.

The previous prime is 230030025977. The next prime is 230030025997. The reversal of 230030025984 is 489520030032.

230030025984 is a `hidden beast` number, since 2 + 30 + 0 + 30 + 0 + 2 + 598 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 460981767 + ... + 460982265.

It is an arithmetic number, because the mean of its divisors is an integer number (1088225600).

Almost surely, 2^230030025984 is an apocalyptic number.

230030025984 is a gapful number since it is divisible by the number (24) 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 230030025984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391761216000).

230030025984 is an abundant number, since it is smaller than the sum of its proper divisors (553492406016).

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

230030025984 is a wasteful number, since it uses less digits than its factorization.

230030025984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 230030025984 in words is "two hundred thirty billion, thirty million, twenty-five thousand, nine hundred eighty-four".