84400448 has 56 divisors (see below), whose sum is σ = 184672224. Its totient is φ = 37952000.

The previous prime is 84400439. The next prime is 84400471.

It is a happy number.

84400448 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70511 + ... + 71697.

Almost surely, 2^84400448 is an apocalyptic number.

84400448 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 84400448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92336112).

84400448 is an abundant number, since it is smaller than the sum of its proper divisors (100271776).

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

84400448 is a wasteful number, since it uses less digits than its factorization.

84400448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 84400448 is about 9186.9716446716. The cubic root of 84400448 is about 438.6467513534.

It can be divided in two parts, 84400 and 448, that added together give a palindrome (84848).

The spelling of 84400448 in words is "eighty-four million, four hundred thousand, four hundred forty-eight".