4832784 has 120 divisors (see below), whose sum is σ = 15436512. Its totient is φ = 1451520.

The previous prime is 4832767. The next prime is 4832797. The reversal of 4832784 is 4872384.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 4² + 8³ + 3¹⁴ + 2⁷ + 7 + 8⁵ + 4⁷ .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42712 + ... + 42824.

Almost surely, 2^4832784 is an apocalyptic number.

4832784 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4832784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7718256).

4832784 is an abundant number, since it is smaller than the sum of its proper divisors (10603728).

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

4832784 is a wasteful number, since it uses less digits than its factorization.

4832784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 129 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 4832784 is about 2198.3593882712. The cubic root of 4832784 is about 169.0697050320.

The spelling of 4832784 in words is "four million, eight hundred thirty-two thousand, seven hundred eighty-four".