4466784 has 144 divisors (see below), whose sum is σ = 14853888. Its totient is φ = 1148928.

The previous prime is 4466779. The next prime is 4466789. The reversal of 4466784 is 4876644.

It is an interprime number because it is at equal distance from previous prime (4466779) and next prime (4466789).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4466789) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194197 + ... + 194219.

It is an arithmetic number, because the mean of its divisors is an integer number (103152).

Almost surely, 2^4466784 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 4466784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7426944).

4466784 is an abundant number, since it is smaller than the sum of its proper divisors (10387104).

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

4466784 is a wasteful number, since it uses less digits than its factorization.

4466784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 52 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 4466784 is about 2113.4767564371. The cubic root of 4466784 is about 164.6891484400.

The spelling of 4466784 in words is "four million, four hundred sixty-six thousand, seven hundred eighty-four".