189895440 has 320 divisors, whose sum is σ = 730667520. Its totient is φ = 39813120.

The previous prime is 189895421. The next prime is 189895469. The reversal of 189895440 is 44598981.

189895440 is nontrivially palindromic in base 11.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 189895440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1742106 + ... + 1742214.

It is an arithmetic number, because the mean of its divisors is an integer number (2283336).

Almost surely, 2^189895440 is an apocalyptic number.

189895440 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 189895440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365333760).

189895440 is an abundant number, since it is smaller than the sum of its proper divisors (540772080).

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

189895440 is a wasteful number, since it uses less digits than its factorization.

189895440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The square root of 189895440 is about 13780.2554403030. The cubic root of 189895440 is about 574.7842315825.

The spelling of 189895440 in words is "one hundred eighty-nine million, eight hundred ninety-five thousand, four hundred forty".