1004416 has 64 divisors (see below), whose sum is σ = 2448000. Its totient is φ = 400896.

The previous prime is 1004401. The next prime is 1004429. The reversal of 1004416 is 6144001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1004416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16995 + ... + 17053.

It is an arithmetic number, because the mean of its divisors is an integer number (38250).

2^1004416 is an apocalyptic number.

1004416 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 1004416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224000).

1004416 is an abundant number, since it is smaller than the sum of its proper divisors (1443584).

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

1004416 is an equidigital number, since it uses as much as digits as its factorization.

1004416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 87 counting only the distinct ones).

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

The square root of 1004416 is about 1002.2055677355. The cubic root of 1004416 is about 100.1469838516.

Adding to 1004416 its reverse (6144001), we get a palindrome (7148417).

The spelling of 1004416 in words is "one million, four thousand, four hundred sixteen".