189258240 has 160 divisors (see below), whose sum is σ = 637369920. Its totient is φ = 47775744.

The previous prime is 189258227. The next prime is 189258241. The reversal of 189258240 is 42852981.

189258240 is a nontrivial binomial coefficient, being equal to C(19456, 2).

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (189258241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145272 + ... + 146568.

It is an arithmetic number, because the mean of its divisors is an integer number (3983562).

Almost surely, 2^189258240 is an apocalyptic number.

189258240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

189258240 is the 19455-th triangular number and also the 9728-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318684960).

189258240 is an abundant number, since it is smaller than the sum of its proper divisors (448111680).

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

189258240 is a wasteful number, since it uses less digits than its factorization.

189258240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 189258240 is about 13757.1159768318. The cubic root of 189258240 is about 574.1406090800.

The spelling of 189258240 in words is "one hundred eighty-nine million, two hundred fifty-eight thousand, two hundred forty".