1003408 has 60 divisors (see below), whose sum is σ = 2436352. Its totient is φ = 391680.

The previous prime is 1003397. The next prime is 1003411. The reversal of 1003408 is 8043001.

It is a super-2 number, since 2×1003408² = 2013655228928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1003391 and 1003400.

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 11 ways as a sum of consecutive naturals, for example, 32353 + ... + 32383.

2^1003408 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 1003408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218176).

1003408 is an abundant number, since it is smaller than the sum of its proper divisors (1432944).

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

1003408 is a wasteful number, since it uses less digits than its factorization.

1003408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1003408 is about 1001.7025506606. The cubic root of 1003408 is about 100.1134711942.

Adding to 1003408 its reverse (8043001), we get a palindrome (9046409).

The spelling of 1003408 in words is "one million, three thousand, four hundred eight".