1408416 has 48 divisors (see below), whose sum is σ = 3919104. Its totient is φ = 441344.

The previous prime is 1408411. The next prime is 1408417. The reversal of 1408416 is 6148041.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1408411) 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, 1201 + ... + 2063.

It is an arithmetic number, because the mean of its divisors is an integer number (81648).

2^1408416 is an apocalyptic number.

1408416 is a gapful number since it is divisible by the number (16) 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 1408416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959552).

1408416 is an abundant number, since it is smaller than the sum of its proper divisors (2510688).

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

1408416 is a wasteful number, since it uses less digits than its factorization.

1408416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1408416 is about 1186.7670369538. The cubic root of 1408416 is about 112.0926104760.

The spelling of 1408416 in words is "one million, four hundred eight thousand, four hundred sixteen".