855349200 has 240 divisors, whose sum is σ = 3150542400. Its totient is φ = 220147200.

The previous prime is 855349189. The next prime is 855349207. The reversal of 855349200 is 2943558.

It is a tau number, because it is divible by the number of its divisors (240).

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 (855349207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 311835 + ... + 314565.

It is an arithmetic number, because the mean of its divisors is an integer number (13127260).

Almost surely, 2^855349200 is an apocalyptic number.

855349200 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 855349200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575271200).

855349200 is an abundant number, since it is smaller than the sum of its proper divisors (2295193200).

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

855349200 is a wasteful number, since it uses less digits than its factorization.

855349200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2787 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 855349200 is about 29246.3536188702. The cubic root of 855349200 is about 949.2511920172.

The spelling of 855349200 in words is "eight hundred fifty-five million, three hundred forty-nine thousand, two hundred".