851316480 has 864 divisors, whose sum is σ = 3856978944. Its totient is φ = 175177728.

The previous prime is 851316439. The next prime is 851316517. The reversal of 851316480 is 84613158.

851316480 is a `hidden beast` number, since 8 + 5 + 1 + 3 + 1 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37013749 + ... + 37013771.

It is an arithmetic number, because the mean of its divisors is an integer number (4464096).

Almost surely, 2^851316480 is an apocalyptic number.

851316480 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 851316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1928489472).

851316480 is an abundant number, since it is smaller than the sum of its proper divisors (3005662464).

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

851316480 is a wasteful number, since it uses less digits than its factorization.

851316480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 851316480 is about 29177.3281847396. The cubic root of 851316480 is about 947.7570279416.

The spelling of 851316480 in words is "eight hundred fifty-one million, three hundred sixteen thousand, four hundred eighty".