8416408 has 64 divisors (see below), whose sum is σ = 21208320. Its totient is φ = 3024000.

The previous prime is 8416403. The next prime is 8416451. The reversal of 8416408 is 8046148.

It is a self number, because there is not a number n which added to its sum of digits gives 8416408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8416403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7483 + ... + 8533.

It is an arithmetic number, because the mean of its divisors is an integer number (331380).

Almost surely, 2^8416408 is an apocalyptic number.

8416408 is a gapful number since it is divisible by the number (88) 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 8416408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10604160).

8416408 is an abundant number, since it is smaller than the sum of its proper divisors (12791912).

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

8416408 is a wasteful number, since it uses less digits than its factorization.

8416408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 8416408 is about 2901.1046172105. The cubic root of 8416408 is about 203.4115426692.

The spelling of 8416408 in words is "eight million, four hundred sixteen thousand, four hundred eight".