851162400 has 324 divisors, whose sum is σ = 3302448786. Its totient is φ = 206131200.

The previous prime is 851162321. The next prime is 851162453. The reversal of 851162400 is 4261158.

851162400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 790509456 + 60652944 = 28116^2 + 7788^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 870712 + ... + 871688.

Almost surely, 2^851162400 is an apocalyptic number.

851162400 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 851162400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651224393).

851162400 is an abundant number, since it is smaller than the sum of its proper divisors (2451286386).

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

851162400 is a wasteful number, since it uses less digits than its factorization.

851162400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 851162400 is about 29174.6876589965. The cubic root of 851162400 is about 947.6998462247.

The spelling of 851162400 in words is "eight hundred fifty-one million, one hundred sixty-two thousand, four hundred".