846465984 has 336 divisors, whose sum is σ = 3121456800. Its totient is φ = 222953472.

The previous prime is 846465973. The next prime is 846466013. The reversal of 846465984 is 489564648.

846465984 is a `hidden beast` number, since 8 + 4 + 6 + 46 + 598 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a self number, because there is not a number n which added to its sum of digits gives 846465984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1100352 + ... + 1101120.

It is an arithmetic number, because the mean of its divisors is an integer number (9290050).

Almost surely, 2^846465984 is an apocalyptic number.

846465984 is a gapful number since it is divisible by the number (84) 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 846465984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560728400).

846465984 is an abundant number, since it is smaller than the sum of its proper divisors (2274990816).

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

846465984 is a wasteful number, since it uses less digits than its factorization.

846465984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 794 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The square root of 846465984 is about 29094.0884717153. The cubic root of 846465984 is about 945.9536052886.

The spelling of 846465984 in words is "eight hundred forty-six million, four hundred sixty-five thousand, nine hundred eighty-four".