4632384 has 56 divisors (see below), whose sum is σ = 12801600. Its totient is φ = 1475584.

The previous prime is 4632377. The next prime is 4632403. The reversal of 4632384 is 4832364.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3892 + ... + 4940.

It is an arithmetic number, because the mean of its divisors is an integer number (228600).

Almost surely, 2^4632384 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 4632384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6400800).

4632384 is an abundant number, since it is smaller than the sum of its proper divisors (8169216).

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

4632384 is a wasteful number, since it uses less digits than its factorization.

4632384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1077 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 4632384 is about 2152.2973772228. The cubic root of 4632384 is about 166.6997125585.

The spelling of 4632384 in words is "four million, six hundred thirty-two thousand, three hundred eighty-four".