1408104 has 80 divisors (see below), whose sum is σ = 4116420. Its totient is φ = 449280.

The previous prime is 1408087. The next prime is 1408111. The reversal of 1408104 is 4018041.

It can be written as a sum of positive squares in 2 ways, for example, as 1368900 + 39204 = 1170^2 + 198^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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 (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26542 + ... + 26594.

2^1408104 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 1408104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2058210).

1408104 is an abundant number, since it is smaller than the sum of its proper divisors (2708316).

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

1408104 is a wasteful number, since it uses less digits than its factorization.

1408104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1408104 is about 1186.6355801172. The cubic root of 1408104 is about 112.0843327425.

The spelling of 1408104 in words is "one million, four hundred eight thousand, one hundred four".