4676784 has 80 divisors (see below), whose sum is σ = 14284800. Its totient is φ = 1290240.

The previous prime is 4676783. The next prime is 4676803. The reversal of 4676784 is 4876764.

4676784 = T₃₅₇ + T₃₅₈ + ... + T₄₁₈.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is not an unprimeable number, because it can be changed into a prime (4676783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10192 + ... + 10640.

It is an arithmetic number, because the mean of its divisors is an integer number (178560).

Almost surely, 2^4676784 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 4676784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7142400).

4676784 is an abundant number, since it is smaller than the sum of its proper divisors (9608016).

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

4676784 is a wasteful number, since it uses less digits than its factorization.

4676784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 492 counting only the distinct ones).

The product of its digits is 225792, while the sum is 42.

The square root of 4676784 is about 2162.5873392767. The cubic root of 4676784 is about 167.2306087747.

It can be divided in two parts, 4676 and 784, that added together give a triangular number (5460 = T₁₀₄).

The spelling of 4676784 in words is "four million, six hundred seventy-six thousand, seven hundred eighty-four".