2446416 has 80 divisors (see below), whose sum is σ = 8035200. Its totient is φ = 698112.

The previous prime is 2446373. The next prime is 2446417. The reversal of 2446416 is 6146442.

2446416 is a `hidden beast` number, since 244 + 6 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2446416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2446417) 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, 2620 + ... + 3428.

It is an arithmetic number, because the mean of its divisors is an integer number (100440).

2^2446416 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 2446416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4017600).

2446416 is an abundant number, since it is smaller than the sum of its proper divisors (5588784).

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

2446416 is a wasteful number, since it uses less digits than its factorization.

2446416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 821 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 2446416 is about 1564.1022984447. The cubic root of 2446416 is about 134.7442069970.

The spelling of 2446416 in words is "two million, four hundred forty-six thousand, four hundred sixteen".