846050400 has 576 divisors, whose sum is σ = 3464778240. Its totient is φ = 197683200.

The previous prime is 846050389. The next prime is 846050467. The reversal of 846050400 is 4050648.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6458335 + ... + 6458465.

It is an arithmetic number, because the mean of its divisors is an integer number (6015240).

Almost surely, 2^846050400 is an apocalyptic number.

846050400 is a gapful number since it is divisible by the number (80) 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 846050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732389120).

846050400 is an abundant number, since it is smaller than the sum of its proper divisors (2618727840).

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

846050400 is a wasteful number, since it uses less digits than its factorization.

846050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 846050400 is about 29086.9455254415. The cubic root of 846050400 is about 945.7987703457.

The spelling of 846050400 in words is "eight hundred forty-six million, fifty thousand, four hundred".