850432000 has 208 divisors, whose sum is σ = 2330699904. Its totient is φ = 307200000.

The previous prime is 850431997. The next prime is 850432003. The reversal of 850432000 is 234058.

It is an interprime number because it is at equal distance from previous prime (850431997) and next prime (850432003).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (850432003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5631925 + ... + 5632075.

It is an arithmetic number, because the mean of its divisors is an integer number (11205288).

Almost surely, 2^850432000 is an apocalyptic number.

850432000 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 850432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165349952).

850432000 is an abundant number, since it is smaller than the sum of its proper divisors (1480267904).

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

850432000 is a wasteful number, since it uses less digits than its factorization.

850432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 850432000 is about 29162.1672719981. The cubic root of 850432000 is about 947.4286883904.

Adding to 850432000 its reverse (234058), we get a palindrome (850666058).

It can be divided in two parts, 8504 and 32000, that added together give a palindrome (40504).

The spelling of 850432000 in words is "eight hundred fifty million, four hundred thirty-two thousand".