855550400 has 168 divisors, whose sum is σ = 2225381376. Its totient is φ = 323251200.

The previous prime is 855550393. The next prime is 855550417. The reversal of 855550400 is 4055558.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2331017 + ... + 2331383.

Almost surely, 2^855550400 is an apocalyptic number.

855550400 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 855550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112690688).

855550400 is an abundant number, since it is smaller than the sum of its proper divisors (1369830976).

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

855550400 is a wasteful number, since it uses less digits than its factorization.

855550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 32.

The square root of 855550400 is about 29249.7931616618. The cubic root of 855550400 is about 949.3256155652.

The spelling of 855550400 in words is "eight hundred fifty-five million, five hundred fifty thousand, four hundred".