1440900 has 54 divisors (see below), whose sum is σ = 4519242. Its totient is φ = 384000.

The previous prime is 1440889. The next prime is 1440913. The reversal of 1440900 is 90441.

It can be written as a sum of positive squares in 3 ways, for example, as 484416 + 956484 = 696^2 + 978^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 100 + ... + 1700.

2^1440900 is an apocalyptic number.

1440900 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 1440900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2259621).

1440900 is an abundant number, since it is smaller than the sum of its proper divisors (3078342).

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

1440900 is a wasteful number, since it uses less digits than its factorization.

1440900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1440900 is about 1200.3749414246. The cubic root of 1440900 is about 112.9478444669.

The spelling of 1440900 in words is "one million, four hundred forty thousand, nine hundred".