1405440 has 120 divisors (see below), whose sum is σ = 4947228. Its totient is φ = 368640.

The previous prime is 1405421. The next prime is 1405451. The reversal of 1405440 is 445041.

It can be written as a sum of positive squares in 2 ways, for example, as 1218816 + 186624 = 1104^2 + 432^2 .

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23010 + ... + 23070.

2^1405440 is an apocalyptic number.

1405440 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 1405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2473614).

1405440 is an abundant number, since it is smaller than the sum of its proper divisors (3541788).

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

1405440 is an equidigital number, since it uses as much as digits as its factorization.

1405440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 1405440 is about 1185.5125473819. The cubic root of 1405440 is about 112.0136037898.

The spelling of 1405440 in words is "one million, four hundred five thousand, four hundred forty".