850196400 has 60 divisors (see below), whose sum is σ = 2723466312. Its totient is φ = 226718720.

The previous prime is 850196279. The next prime is 850196407. The reversal of 850196400 is 4691058.

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (850196407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 353049 + ... + 355448.

Almost surely, 2^850196400 is an apocalyptic number.

850196400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

850196400 is an abundant number, since it is smaller than the sum of its proper divisors (1873269912).

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

850196400 is a wasteful number, since it uses less digits than its factorization.

850196400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708518 (or 708507 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 850196400 is about 29158.1275118962. The cubic root of 850196400 is about 947.3411897956.

It can be divided in two parts, 85019 and 6400, that added together give a palindrome (91419).

The spelling of 850196400 in words is "eight hundred fifty million, one hundred ninety-six thousand, four hundred".