850451840 has 192 divisors, whose sum is σ = 2419554240. Its totient is φ = 284884992.

The previous prime is 850451831. The next prime is 850451851. The reversal of 850451840 is 48154058.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 850451840.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1473632 + ... + 1474208.

It is an arithmetic number, because the mean of its divisors is an integer number (12601845).

Almost surely, 2^850451840 is an apocalyptic number.

850451840 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 850451840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209777120).

850451840 is an abundant number, since it is smaller than the sum of its proper divisors (1569102400).

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

850451840 is a wasteful number, since it uses less digits than its factorization.

850451840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 35.

The square root of 850451840 is about 29162.5074367757. The cubic root of 850451840 is about 947.4360559553.

The spelling of 850451840 in words is "eight hundred fifty million, four hundred fifty-one thousand, eight hundred forty".