855270900 has 360 divisors, whose sum is σ = 3138236640. Its totient is φ = 199584000.

The previous prime is 855270887. The next prime is 855270931. The reversal of 855270900 is 9072558.

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 119 ways as a sum of consecutive naturals, for example, 2583735 + ... + 2584065.

It is an arithmetic number, because the mean of its divisors is an integer number (8717324).

Almost surely, 2^855270900 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 855270900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569118320).

855270900 is an abundant number, since it is smaller than the sum of its proper divisors (2282965740).

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

855270900 is a wasteful number, since it uses less digits than its factorization.

855270900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 855270900 is about 29245.0149598184. The cubic root of 855270900 is about 949.2222258217. Note that the first 5 decimals are identical.

The spelling of 855270900 in words is "eight hundred fifty-five million, two hundred seventy thousand, nine hundred".