189975456 has 144 divisors (see below), whose sum is σ = 611458848. Its totient is φ = 57542400.

The previous prime is 189975451. The next prime is 189975473. The reversal of 189975456 is 654579981.

189975456 is a `hidden beast` number, since 1 + 8 + 9 + 97 + 545 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (189975451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84426 + ... + 86646.

It is an arithmetic number, because the mean of its divisors is an integer number (4246242).

Almost surely, 2^189975456 is an apocalyptic number.

189975456 is a gapful number since it is divisible by the number (16) 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 189975456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305729424).

189975456 is an abundant number, since it is smaller than the sum of its proper divisors (421483392).

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

189975456 is a wasteful number, since it uses less digits than its factorization.

189975456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257 (or 2237 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 54.

The square root of 189975456 is about 13783.1584188821. The cubic root of 189975456 is about 574.8649522794.

The spelling of 189975456 in words is "one hundred eighty-nine million, nine hundred seventy-five thousand, four hundred fifty-six".