84444480 has 168 divisors, whose sum is σ = 294208200. Its totient is φ = 22228992.

The previous prime is 84444469. The next prime is 84444497. The reversal of 84444480 is 8444448.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2143296 + 82301184 = 1464^2 + 9072^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 313786 + ... + 314054.

Almost surely, 2^84444480 is an apocalyptic number.

84444480 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 84444480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147104100).

84444480 is an abundant number, since it is smaller than the sum of its proper divisors (209763720).

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

84444480 is a wasteful number, since it uses less digits than its factorization.

84444480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 84444480 is about 9189.3677693299. The cubic root of 84444480 is about 438.7230192579.

The spelling of 84444480 in words is "eighty-four million, four hundred forty-four thousand, four hundred eighty".