851946480 has 480 divisors, whose sum is σ = 3624910848. Its totient is φ = 175633920.

The previous prime is 851946479. The next prime is 851946509. The reversal of 851946480 is 84649158.

851946480 is a `hidden beast` number, since 85 + 1 + 94 + 6 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6708177 + ... + 6708303.

Almost surely, 2^851946480 is an apocalyptic number.

851946480 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 851946480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812455424).

851946480 is an abundant number, since it is smaller than the sum of its proper divisors (2772964368).

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

851946480 is a wasteful number, since it uses less digits than its factorization.

851946480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 851946480 is about 29188.1222417613. The cubic root of 851946480 is about 947.9907599377.

The spelling of 851946480 in words is "eight hundred fifty-one million, nine hundred forty-six thousand, four hundred eighty".