846612480 has 384 divisors, whose sum is σ = 3220439040. Its totient is φ = 185794560.

The previous prime is 846612439. The next prime is 846612491. The reversal of 846612480 is 84216648.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6666177 + ... + 6666303.

It is an arithmetic number, because the mean of its divisors is an integer number (8386560).

Almost surely, 2^846612480 is an apocalyptic number.

846612480 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 846612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610219520).

846612480 is an abundant number, since it is smaller than the sum of its proper divisors (2373826560).

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

846612480 is a wasteful number, since it uses less digits than its factorization.

846612480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 846612480 is about 29096.6059876406. The cubic root of 846612480 is about 946.0081735084.

The spelling of 846612480 in words is "eight hundred forty-six million, six hundred twelve thousand, four hundred eighty".