854872200 has 576 divisors, whose sum is σ = 3753509760. Its totient is φ = 169205760.

The previous prime is 854872199. The next prime is 854872219. The reversal of 854872200 is 2278458.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2784447 + ... + 2784753.

It is an arithmetic number, because the mean of its divisors is an integer number (6516510).

Almost surely, 2^854872200 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 854872200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1876754880).

854872200 is an abundant number, since it is smaller than the sum of its proper divisors (2898637560).

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

854872200 is a wasteful number, since it uses less digits than its factorization.

854872200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 854872200 is about 29238.1976188684. The cubic root of 854872200 is about 949.0747038594.

The spelling of 854872200 in words is "eight hundred fifty-four million, eight hundred seventy-two thousand, two hundred".