851463360 has 672 divisors, whose sum is σ = 3593226240. Its totient is φ = 188006400.

The previous prime is 851463323. The next prime is 851463367. The reversal of 851463360 is 63364158.

851463360 is a `hidden beast` number, since 8 + 5 + 14 + 633 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (851463367) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27466545 + ... + 27466575.

Almost surely, 2^851463360 is an apocalyptic number.

851463360 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 851463360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796613120).

851463360 is an abundant number, since it is smaller than the sum of its proper divisors (2741762880).

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

851463360 is a wasteful number, since it uses less digits than its factorization.

851463360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 851463360 is about 29179.8450989720. The cubic root of 851463360 is about 947.8115311925.

The spelling of 851463360 in words is "eight hundred fifty-one million, four hundred sixty-three thousand, three hundred sixty".