1409040 has 120 divisors (see below), whose sum is σ = 5029440. Its totient is φ = 352512.

The previous prime is 1409033. The next prime is 1409041. The reversal of 1409040 is 409041.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (1409041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13629 + ... + 13731.

It is an arithmetic number, because the mean of its divisors is an integer number (41912).

2^1409040 is an apocalyptic number.

1409040 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 1409040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2514720).

1409040 is an abundant number, since it is smaller than the sum of its proper divisors (3620400).

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

1409040 is a wasteful number, since it uses less digits than its factorization.

1409040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 132 counting only the distinct ones).

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

The square root of 1409040 is about 1187.0299069526. The cubic root of 1409040 is about 112.1091622765.

Subtracting from 1409040 its reverse (409041), we obtain a palindrome (999999).

It can be divided in two parts, 140 and 9040, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 1409040 in words is "one million, four hundred nine thousand, forty".