4633824 has 96 divisors (see below), whose sum is σ = 13547520. Its totient is φ = 1377792.

The previous prime is 4633819. The next prime is 4633841. The reversal of 4633824 is 4283364.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a d-powerful number, because it can be written as 4⁹ + 6³ + 3 + 3¹¹ + 8 + 2 + 4¹¹ .

Its product of digits (13824) is a multiple of the sum of its prime divisors (144).

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 4633791 and 4633800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58617 + ... + 58695.

It is an arithmetic number, because the mean of its divisors is an integer number (141120).

Almost surely, 2^4633824 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 4633824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6773760).

4633824 is an abundant number, since it is smaller than the sum of its proper divisors (8913696).

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

4633824 is a wasteful number, since it uses less digits than its factorization.

4633824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 144 counting only the distinct ones).

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

The square root of 4633824 is about 2152.6318774932. The cubic root of 4633824 is about 166.7169839186.

The spelling of 4633824 in words is "four million, six hundred thirty-three thousand, eight hundred twenty-four".