846486480 has 320 divisors, whose sum is σ = 3296931840. Its totient is φ = 175177728.

The previous prime is 846486469. The next prime is 846486551. The reversal of 846486480 is 84684648.

846486480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 733584 + ... + 734736.

It is an arithmetic number, because the mean of its divisors is an integer number (10302912).

Almost surely, 2^846486480 is an apocalyptic number.

846486480 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 846486480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648465920).

846486480 is an abundant number, since it is smaller than the sum of its proper divisors (2450445360).

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

846486480 is a wasteful number, since it uses less digits than its factorization.

846486480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 48.

The square root of 846486480 is about 29094.4407060868. The cubic root of 846486480 is about 945.9612402119.

The spelling of 846486480 in words is "eight hundred forty-six million, four hundred eighty-six thousand, four hundred eighty".