850400000 has 108 divisors (see below), whose sum is σ = 2123707824. Its totient is φ = 339840000.

The previous prime is 850399939. The next prime is 850400009. The reversal of 850400000 is 4058.

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (850400009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 799469 + ... + 800531.

Almost surely, 2^850400000 is an apocalyptic number.

850400000 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 850400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061853912).

850400000 is an abundant number, since it is smaller than the sum of its proper divisors (1273307824).

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

850400000 is an frugal number, since it uses more digits than its factorization.

850400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 850400000 is about 29161.6186107699. The cubic root of 850400000 is about 947.4168049796.

Adding to 850400000 its reverse (4058), we get a palindrome (850404058).

The spelling of 850400000 in words is "eight hundred fifty million, four hundred thousand".