844369920 has 260 divisors, whose sum is σ = 3032799660. Its totient is φ = 224722944.

The previous prime is 844369919. The next prime is 844369921. The reversal of 844369920 is 29963448.

It is an interprime number because it is at equal distance from previous prime (844369919) and next prime (844369921).

It can be written as a sum of positive squares in 2 ways, for example, as 504631296 + 339738624 = 22464^2 + 18432^2 .

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 (844369921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1658626 + ... + 1659134.

Almost surely, 2^844369920 is an apocalyptic number.

844369920 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 844369920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516399830).

844369920 is an abundant number, since it is smaller than the sum of its proper divisors (2188429740).

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

844369920 is an equidigital number, since it uses as much as digits as its factorization.

844369920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 844369920 is about 29058.0439809702. The cubic root of 844369920 is about 945.1721530659.

The spelling of 844369920 in words is "eight hundred forty-four million, three hundred sixty-nine thousand, nine hundred twenty".