840448 has 54 divisors (see below), whose sum is σ = 1980636. Its totient is φ = 354816.

The previous prime is 840439. The next prime is 840451. The reversal of 840448 is 844048.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 5 ways as a sum of consecutive naturals, for example, 12511 + ... + 12577.

2⁸⁴⁰⁴⁴⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 840448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990318).

840448 is an abundant number, since it is smaller than the sum of its proper divisors (1140188).

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

840448 is an equidigital number, since it uses as much as digits as its factorization.

840448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 840448 is about 916.7595104497. The cubic root of 840448 is about 94.3706506482.

Subtracting 840448 from its reverse (844048), we obtain a square (3600 = 60²).

The spelling of 840448 in words is "eight hundred forty thousand, four hundred forty-eight".