855475200 has 396 divisors, whose sum is σ = 3167773440. Its totient is φ = 220446720.

The previous prime is 855475193. The next prime is 855475211. The reversal of 855475200 is 2574558.

It is a happy number.

855475200 is a `hidden beast` number, since 85 + 54 + 7 + 520 + 0 = 666.

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 35 ways as a sum of consecutive naturals, for example, 10828761 + ... + 10828839.

Almost surely, 2^855475200 is an apocalyptic number.

855475200 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 855475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583886720).

855475200 is an abundant number, since it is smaller than the sum of its proper divisors (2312298240).

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

855475200 is a wasteful number, since it uses less digits than its factorization.

855475200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 855475200 is about 29248.5076542377. The cubic root of 855475200 is about 949.2978005750.

The spelling of 855475200 in words is "eight hundred fifty-five million, four hundred seventy-five thousand, two hundred".