846450000 has 600 divisors, whose sum is σ = 3516337440. Its totient is φ = 194400000.

The previous prime is 846449987. The next prime is 846450013. The reversal of 846450000 is 54648.

846450000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (846449987) and next prime (846450013).

It is a tau number, because it is divible by the number of its divisors (600).

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 119 ways as a sum of consecutive naturals, for example, 44549991 + ... + 44550009.

Almost surely, 2^846450000 is an apocalyptic number.

846450000 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 846450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758168720).

846450000 is an abundant number, since it is smaller than the sum of its proper divisors (2669887440).

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

846450000 is a wasteful number, since it uses less digits than its factorization.

846450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 40 counting only the distinct ones).

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

The square root of 846450000 is about 29093.8137754403. The cubic root of 846450000 is about 945.9476510357.

The spelling of 846450000 in words is "eight hundred forty-six million, four hundred fifty thousand".