850608400 has 120 divisors (see below), whose sum is σ = 2110632768. Its totient is φ = 329280000.

The previous prime is 850608389. The next prime is 850608401. The reversal of 850608400 is 4806058.

It is a super-3 number, since 3×850608400³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (850608401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1732155 + ... + 1732645.

Almost surely, 2^850608400 is an apocalyptic number.

850608400 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 850608400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055316384).

850608400 is an abundant number, since it is smaller than the sum of its proper divisors (1260024368).

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

850608400 is a wasteful number, since it uses less digits than its factorization.

850608400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 850608400 is about 29165.1915817469. The cubic root of 850608400 is about 947.4941903418.

The spelling of 850608400 in words is "eight hundred fifty million, six hundred eight thousand, four hundred".