920448 has 96 divisors (see below), whose sum is σ = 2864160. Its totient is φ = 282624.

The previous prime is 920443. The next prime is 920467. The reversal of 920448 is 844029.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 920448.

It is not an unprimeable number, because it can be changed into a prime (920441) by changing a digit.

920448 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 19561 + ... + 19607.

It is an arithmetic number, because the mean of its divisors is an integer number (29835).

2⁹²⁰⁴⁴⁸ 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 920448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432080).

920448 is an abundant number, since it is smaller than the sum of its proper divisors (1943712).

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

920448 is a wasteful number, since it uses less digits than its factorization.

920448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 920448 is about 959.3998123827. The cubic root of 920448 is about 97.2746670091.

The spelling of 920448 in words is "nine hundred twenty thousand, four hundred forty-eight".