1405416 has 32 divisors (see below), whose sum is σ = 3628800. Its totient is φ = 453120.

The previous prime is 1405403. The next prime is 1405421. The reversal of 1405416 is 6145041.

It is a junction number, because it is equal to n+sod(n) for n = 1405392 and 1405401.

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 7 ways as a sum of consecutive naturals, for example, 201 + ... + 1688.

It is an arithmetic number, because the mean of its divisors is an integer number (113400).

2^1405416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1405416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814400).

1405416 is an abundant number, since it is smaller than the sum of its proper divisors (2223384).

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

1405416 is a wasteful number, since it uses less digits than its factorization.

1405416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1405416 is about 1185.5024251346. The cubic root of 1405416 is about 112.0129661859.

The spelling of 1405416 in words is "one million, four hundred five thousand, four hundred sixteen".