851472000 has 448 divisors, whose sum is σ = 3217485960. Its totient is φ = 223948800.

The previous prime is 851471993. The next prime is 851472001. The reversal of 851472000 is 274158.

It can be written as a sum of positive squares in 4 ways, for example, as 276623424 + 574848576 = 16632^2 + 23976^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (851472001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 11663964 + ... + 11664036.

Almost surely, 2^851472000 is an apocalyptic number.

851472000 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 851472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608742980).

851472000 is an abundant number, since it is smaller than the sum of its proper divisors (2366013960).

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

851472000 is an frugal number, since it uses more digits than its factorization.

851472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 851472000 is about 29179.9931459896. The cubic root of 851472000 is about 947.8147370709.

The spelling of 851472000 in words is "eight hundred fifty-one million, four hundred seventy-two thousand".