230541984 has 96 divisors (see below), whose sum is σ = 676952640. Its totient is φ = 76329216.

The previous prime is 230541973. The next prime is 230542019. The reversal of 230541984 is 489145032.

230541984 is a `hidden beast` number, since 2 + 30 + 541 + 9 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140014 + ... + 141650.

It is an arithmetic number, because the mean of its divisors is an integer number (7051590).

Almost surely, 2^230541984 is an apocalyptic number.

230541984 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 230541984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338476320).

230541984 is an abundant number, since it is smaller than the sum of its proper divisors (446410656).

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

230541984 is a wasteful number, since it uses less digits than its factorization.

230541984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1819 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 230541984 is about 15183.6090571379. The cubic root of 230541984 is about 613.1734502389.

The spelling of 230541984 in words is "two hundred thirty million, five hundred forty-one thousand, nine hundred eighty-four".