854217000 has 576 divisors, whose sum is σ = 3641274000. Its totient is φ = 179020800.

The previous prime is 854216983. The next prime is 854217031. The reversal of 854217000 is 712458.

It can be written as a sum of positive squares in 8 ways, for example, as 45724644 + 808492356 = 6762^2 + 28434^2 .

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 143 ways as a sum of consecutive naturals, for example, 5732926 + ... + 5733074.

Almost surely, 2^854217000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 854217000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1820637000).

854217000 is an abundant number, since it is smaller than the sum of its proper divisors (2787057000).

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

854217000 is a wasteful number, since it uses less digits than its factorization.

854217000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 179 counting only the distinct ones).

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

The square root of 854217000 is about 29226.9909501474. The cubic root of 854217000 is about 948.8321753357.

Adding to 854217000 its reverse (712458), we get a palindrome (854929458).

The spelling of 854217000 in words is "eight hundred fifty-four million, two hundred seventeen thousand".