846676440 has 96 divisors (see below), whose sum is σ = 2771945280. Its totient is φ = 224119296.

The previous prime is 846676429. The next prime is 846676487. The reversal of 846676440 is 44676648.

846676440 is a `hidden beast` number, since 84 + 66 + 76 + 440 = 666.

846676440 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40737 + ... + 57903.

It is an arithmetic number, because the mean of its divisors is an integer number (28874430).

Almost surely, 2^846676440 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 846676440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385972640).

846676440 is an abundant number, since it is smaller than the sum of its proper divisors (1925268840).

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

846676440 is a wasteful number, since it uses less digits than its factorization.

846676440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17321 (or 17314 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 846676440 is about 29097.7050641455. The cubic root of 846676440 is about 946.0319959619.

The spelling of 846676440 in words is "eight hundred forty-six million, six hundred seventy-six thousand, four hundred forty".