84444448 has 72 divisors (see below), whose sum is σ = 185309964. Its totient is φ = 37847040.

The previous prime is 84444439. The next prime is 84444463.

84444448 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 67699984 + 16744464 = 8228^2 + 4092^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 84444448.

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 11 ways as a sum of consecutive naturals, for example, 437440 + ... + 437632.

Almost surely, 2^84444448 is an apocalyptic number.

84444448 is a gapful number since it is divisible by the number (88) 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 84444448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92654982).

84444448 is an abundant number, since it is smaller than the sum of its proper divisors (100865516).

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

84444448 is a wasteful number, since it uses less digits than its factorization.

84444448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 319 counting only the distinct ones).

The product of its digits is 262144, while the sum is 40.

The square root of 84444448 is about 9189.3660281871. The cubic root of 84444448 is about 438.7229638403.

The spelling of 84444448 in words is "eighty-four million, four hundred forty-four thousand, four hundred forty-eight".