1001440 has 48 divisors (see below), whose sum is σ = 2585520. Its totient is φ = 363520.

The previous prime is 1001431. The next prime is 1001447. The reversal of 1001440 is 441001.

1001440 = 107² + 108² + ... + 161².

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001447) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1476 + ... + 2044.

It is an arithmetic number, because the mean of its divisors is an integer number (53865).

2^1001440 is an apocalyptic number.

1001440 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 1001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292760).

1001440 is an abundant number, since it is smaller than the sum of its proper divisors (1584080).

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

1001440 is a wasteful number, since it uses less digits than its factorization.

1001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1001440 is about 1000.7197409865. The cubic root of 1001440 is about 100.0479769784.

Adding to 1001440 its reverse (441001), we get a palindrome (1442441).

It can be divided in two parts, 1001 and 440, that added together give a palindrome (1441).

The spelling of 1001440 in words is "one million, one thousand, four hundred forty".