189104464 has 80 divisors (see below), whose sum is σ = 410973696. Its totient is φ = 83865600.

The previous prime is 189104429. The next prime is 189104491. The reversal of 189104464 is 464401981.

It is a congruent number.

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, 345439 + ... + 345985.

Almost surely, 2^189104464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189104464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205486848).

189104464 is an abundant number, since it is smaller than the sum of its proper divisors (221869232).

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

189104464 is a wasteful number, since it uses less digits than its factorization.

189104464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 638 counting only the distinct ones).

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

The square root of 189104464 is about 13751.5258789707. The cubic root of 189104464 is about 573.9850668091.

It can be divided in two parts, 189 and 104464, that added together give a triangular number (104653 = T₄₅₇).

The spelling of 189104464 in words is "one hundred eighty-nine million, one hundred four thousand, four hundred sixty-four".