1448000 has 56 divisors (see below), whose sum is σ = 3605784. Its totient is φ = 576000.

The previous prime is 1447987. The next prime is 1448003. The reversal of 1448000 is 8441.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 399424 + 1048576 = 632^2 + 1024^2 .

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 1448000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1448003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7910 + ... + 8090.

It is an arithmetic number, because the mean of its divisors is an integer number (64389).

2^1448000 is an apocalyptic number.

1448000 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 1448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802892).

1448000 is an abundant number, since it is smaller than the sum of its proper divisors (2157784).

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

1448000 is an equidigital number, since it uses as much as digits as its factorization.

1448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 1448000 is about 1203.3287165193. The cubic root of 1448000 is about 113.1330565165.

The spelling of 1448000 in words is "one million, four hundred forty-eight thousand".