8464416 has 48 divisors (see below), whose sum is σ = 22829184. Its totient is φ = 2744064.

The previous prime is 8464403. The next prime is 8464439. The reversal of 8464416 is 6144648.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×8464416³ (a number of 22 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2361 + ... + 4743.

It is an arithmetic number, because the mean of its divisors is an integer number (475608).

Almost surely, 2^8464416 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 8464416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11414592).

8464416 is an abundant number, since it is smaller than the sum of its proper divisors (14364768).

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

8464416 is a wasteful number, since it uses less digits than its factorization.

8464416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433 (or 2425 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 8464416 is about 2909.3669414496. The cubic root of 8464416 is about 203.7975692814.

Adding to 8464416 its product of digits (18432), we get a palindrome (8482848).

The spelling of 8464416 in words is "eight million, four hundred sixty-four thousand, four hundred sixteen".