1448208 has 60 divisors (see below), whose sum is σ = 4134780. Its totient is φ = 473088.

The previous prime is 1448207. The next prime is 1448219. The reversal of 1448208 is 8028441.

It can be written as a sum of positive squares in 2 ways, for example, as 121104 + 1327104 = 348^2 + 1152^2 .

It is a super-2 number, since 2×1448208² = 4194612822528, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1448203) by changing a digit.

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, 12760 + ... + 12872.

It is an arithmetic number, because the mean of its divisors is an integer number (68913).

2^1448208 is an apocalyptic number.

1448208 is a gapful number since it is divisible by the number (18) 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 1448208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2067390).

1448208 is an abundant number, since it is smaller than the sum of its proper divisors (2686572).

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

1448208 is a wasteful number, since it uses less digits than its factorization.

1448208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 1448208 is about 1203.4151403402. The cubic root of 1448208 is about 113.1384733095.

The spelling of 1448208 in words is "one million, four hundred forty-eight thousand, two hundred eight".