189461440 has 168 divisors, whose sum is σ = 538929072. Its totient is φ = 63221760.

The previous prime is 189461383. The next prime is 189461443. The reversal of 189461440 is 44164981.

189461440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 189461440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189461443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 674100 + ... + 674380.

Almost surely, 2^189461440 is an apocalyptic number.

189461440 is a gapful number since it is divisible by the number (10) 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 189461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269464536).

189461440 is an abundant number, since it is smaller than the sum of its proper divisors (349467632).

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

189461440 is a wasteful number, since it uses less digits than its factorization.

189461440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 189461440 is about 13764.4992644121. The cubic root of 189461440 is about 574.3460138635.

The spelling of 189461440 in words is "one hundred eighty-nine million, four hundred sixty-one thousand, four hundred forty".