1448320 has 64 divisors (see below), whose sum is σ = 3623040. Its totient is φ = 552960.

The previous prime is 1448309. The next prime is 1448357. The reversal of 1448320 is 238441.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1448291 and 1448300.

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 7 ways as a sum of consecutive naturals, for example, 19804 + ... + 19876.

It is an arithmetic number, because the mean of its divisors is an integer number (56610).

2^1448320 is an apocalyptic number.

1448320 is a gapful number since it is divisible by the number (10) 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 1448320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811520).

1448320 is an abundant number, since it is smaller than the sum of its proper divisors (2174720).

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

1448320 is an equidigital number, since it uses as much as digits as its factorization.

1448320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 1448320 is about 1203.4616736731. The cubic root of 1448320 is about 113.1413898294.

It can be divided in two parts, 144 and 8320, that added together give a square (8464 = 92²).

The spelling of 1448320 in words is "one million, four hundred forty-eight thousand, three hundred twenty".