4782984 has 64 divisors (see below), whose sum is σ = 13348800. Its totient is φ = 1419264.

The previous prime is 4782977. The next prime is 4782989. The reversal of 4782984 is 4892874.

4782984 = T₁₇₁ + T₁₇₂ + ... + T₃₂₂.

It is not an unprimeable number, because it can be changed into a prime (4782989) 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, 7444 + ... + 8060.

It is an arithmetic number, because the mean of its divisors is an integer number (208575).

Almost surely, 2^4782984 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 4782984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6674400).

4782984 is an abundant number, since it is smaller than the sum of its proper divisors (8565816).

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

4782984 is a wasteful number, since it uses less digits than its factorization.

4782984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 658 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 4782984 is about 2187.0034293526. The cubic root of 4782984 is about 168.4869657990.

The spelling of 4782984 in words is "four million, seven hundred eighty-two thousand, nine hundred eighty-four".