1408896 has 48 divisors (see below), whose sum is σ = 4057560. Its totient is φ = 469248.

The previous prime is 1408889. The next prime is 1408961. The reversal of 1408896 is 6988041.

It is a happy number.

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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1408896.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 541 + ... + 1763.

2^1408896 is an apocalyptic number.

1408896 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 1408896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2028780).

1408896 is an abundant number, since it is smaller than the sum of its proper divisors (2648664).

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

1408896 is a wasteful number, since it uses less digits than its factorization.

1408896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1408896 is about 1186.9692498123. The cubic root of 1408896 is about 112.1053430640.

It can be divided in two parts, 1408 and 896, that added together give a square (2304 = 48²).

The spelling of 1408896 in words is "one million, four hundred eight thousand, eight hundred ninety-six".