846389466 has 256 divisors, whose sum is σ = 2322432000. Its totient is φ = 225815040.

The previous prime is 846389449. The next prime is 846389471. The reversal of 846389466 is 664983648.

846389466 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9509950 + ... + 9510038.

It is an arithmetic number, because the mean of its divisors is an integer number (9072000).

Almost surely, 2^846389466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 846389466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161216000).

846389466 is an abundant number, since it is smaller than the sum of its proper divisors (1476042534).

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

846389466 is a wasteful number, since it uses less digits than its factorization.

846389466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 180 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The square root of 846389466 is about 29092.7734325898. The cubic root of 846389466 is about 945.9251006350.

The spelling of 846389466 in words is "eight hundred forty-six million, three hundred eighty-nine thousand, four hundred sixty-six".