846381312 has 450 divisors, whose sum is σ = 3117395358. Its totient is φ = 227598336.

The previous prime is 846381307. The next prime is 846381317. The reversal of 846381312 is 213183648.

846381312 is a `hidden beast` number, since 8 + 4 + 638 + 1 + 3 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (846381307) and next prime (846381317).

It can be written as a sum of positive squares in only one way, i.e., 796594176 + 49787136 = 28224^2 + 7056^2 .

It is a super-2 number, since 2×846381312² = 1432722650605682688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (846381317) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 49787128 + ... + 49787144.

Almost surely, 2^846381312 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 846381312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558697679).

846381312 is an abundant number, since it is smaller than the sum of its proper divisors (2271014046).

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

846381312 is an frugal number, since it uses more digits than its factorization.

846381312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 29 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 846381312 is about 29092.6332943582. The cubic root of 846381312 is about 945.9220629876.

The spelling of 846381312 in words is "eight hundred forty-six million, three hundred eighty-one thousand, three hundred twelve".