189077460 has 96 divisors (see below), whose sum is σ = 622000512. Its totient is φ = 42309120.

The previous prime is 189077459. The next prime is 189077467. The reversal of 189077460 is 64770981.

189077460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189077467) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2439 + ... + 19598.

It is an arithmetic number, because the mean of its divisors is an integer number (6479172).

Almost surely, 2^189077460 is an apocalyptic number.

189077460 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 189077460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311000256).

189077460 is an abundant number, since it is smaller than the sum of its proper divisors (432923052).

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

189077460 is a wasteful number, since it uses less digits than its factorization.

189077460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22073 (or 22071 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 189077460 is about 13750.5439892391. The cubic root of 189077460 is about 573.9577439382.

The spelling of 189077460 in words is "one hundred eighty-nine million, seventy-seven thousand, four hundred sixty".