16417408 has 64 divisors (see below), whose sum is σ = 38041920. Its totient is φ = 6912000.

The previous prime is 16417391. The next prime is 16417409. The reversal of 16417408 is 80471461.

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

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 16417408.

It is not an unprimeable number, because it can be changed into a prime (16417409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65283 + ... + 65533.

It is an arithmetic number, because the mean of its divisors is an integer number (594405).

Almost surely, 2^16417408 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 16417408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19020960).

16417408 is an abundant number, since it is smaller than the sum of its proper divisors (21624512).

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

16417408 is an equidigital number, since it uses as much as digits as its factorization.

16417408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 16417408 is about 4051.8400758174. The cubic root of 16417408 is about 254.1566809777.

Adding to 16417408 its reverse (80471461), we get a palindrome (96888869).

The spelling of 16417408 in words is "sixteen million, four hundred seventeen thousand, four hundred eight".