855432000 has 252 divisors, whose sum is σ = 3088353996. Its totient is φ = 226022400.

The previous prime is 855431999. The next prime is 855432001. The reversal of 855432000 is 234558.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (855431999) and next prime (855432001).

It can be written as a sum of positive squares in 6 ways, for example, as 131606784 + 723825216 = 11472^2 + 26904^2 .

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (855432001) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7847946 + ... + 7848054.

It is an arithmetic number, because the mean of its divisors is an integer number (12255373).

Almost surely, 2^855432000 is an apocalyptic number.

855432000 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 855432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544176998).

855432000 is an abundant number, since it is smaller than the sum of its proper divisors (2232921996).

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

855432000 is a wasteful number, since it uses less digits than its factorization.

855432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 855432000 is about 29247.7691456972. The cubic root of 855432000 is about 949.2818210136.

Adding to 855432000 its reverse (234558), we get a palindrome (855666558).

The spelling of 855432000 in words is "eight hundred fifty-five million, four hundred thirty-two thousand".