846201384 has 192 divisors, whose sum is σ = 2895782400. Its totient is φ = 227501568.

The previous prime is 846201383. The next prime is 846201397. The reversal of 846201384 is 483102648.

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

It is not an unprimeable number, because it can be changed into a prime (846201383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177577 + ... + 182279.

It is an arithmetic number, because the mean of its divisors is an integer number (15082200).

Almost surely, 2^846201384 is an apocalyptic number.

846201384 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 846201384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447891200).

846201384 is an abundant number, since it is smaller than the sum of its proper divisors (2049581016).

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

846201384 is a wasteful number, since it uses less digits than its factorization.

846201384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4749 (or 4732 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 846201384 is about 29089.5408007758. The cubic root of 846201384 is about 945.8550286126.

The spelling of 846201384 in words is "eight hundred forty-six million, two hundred one thousand, three hundred eighty-four".