1408008 has 96 divisors (see below), whose sum is σ = 4420800. Its totient is φ = 365568.

The previous prime is 1408007. The next prime is 1408009. The reversal of 1408008 is 8008041.

It is an interprime number because it is at equal distance from previous prime (1408007) and next prime (1408009).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1408007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48538 + ... + 48566.

It is an arithmetic number, because the mean of its divisors is an integer number (46050).

2^1408008 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 1408008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2210400).

1408008 is an abundant number, since it is smaller than the sum of its proper divisors (3012792).

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

1408008 is a wasteful number, since it uses less digits than its factorization.

1408008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 1408008 is about 1186.5951289298. The cubic root of 1408008 is about 112.0817855015.

The spelling of 1408008 in words is "one million, four hundred eight thousand, eight".