846483456 has 208 divisors, whose sum is σ = 2781532544. Its totient is φ = 222953472.

The previous prime is 846483419. The next prime is 846483457. The reversal of 846483456 is 654384648.

It is a tau number, because it is divible by the number of its divisors (208).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (846483457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1117830 + ... + 1118586.

Almost surely, 2^846483456 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 846483456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390766272).

846483456 is an abundant number, since it is smaller than the sum of its proper divisors (1935049088).

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

846483456 is a wasteful number, since it uses less digits than its factorization.

846483456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 782 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 48.

The square root of 846483456 is about 29094.3887373493. The cubic root of 846483456 is about 945.9601137556.

The spelling of 846483456 in words is "eight hundred forty-six million, four hundred eighty-three thousand, four hundred fifty-six".