845344890 has 256 divisors, whose sum is σ = 2659184640. Its totient is φ = 189112320.

The previous prime is 845344879. The next prime is 845344897. The reversal of 845344890 is 98443548.

It is a happy number.

845344890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×845344890² = 1429215966098224200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (845344897) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1849542 + ... + 1849998.

It is an arithmetic number, because the mean of its divisors is an integer number (10387440).

Almost surely, 2^845344890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 845344890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329592320).

845344890 is an abundant number, since it is smaller than the sum of its proper divisors (1813839750).

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

845344890 is a wasteful number, since it uses less digits than its factorization.

845344890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 845344890 is about 29074.8153906435. The cubic root of 845344890 is about 945.5358009637.

The spelling of 845344890 in words is "eight hundred forty-five million, three hundred forty-four thousand, eight hundred ninety".