1440800 has 36 divisors (see below), whose sum is σ = 3519306. Its totient is φ = 576000.

The previous prime is 1440799. The next prime is 1440811. The reversal of 1440800 is 80441.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 781456 + 659344 = 884^2 + 812^2 .

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 unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 101 + ... + 1700.

2^1440800 is an apocalyptic number.

1440800 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 1440800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759653).

1440800 is an abundant number, since it is smaller than the sum of its proper divisors (2078506).

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

1440800 is a wasteful number, since it uses less digits than its factorization.

1440800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821 (or 1808 counting only the distinct ones).

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

The square root of 1440800 is about 1200.3332870499. Note that the first 3 decimals coincide. The cubic root of 1440800 is about 112.9452315061.

The spelling of 1440800 in words is "one million, four hundred forty thousand, eight hundred".