4004832 has 48 divisors (see below), whose sum is σ = 11324880. Its totient is φ = 1231872.

The previous prime is 4004821. The next prime is 4004837. The reversal of 4004832 is 2384004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 4004799 and 4004808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004837) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 357 + ... + 2852.

It is an arithmetic number, because the mean of its divisors is an integer number (235935).

Almost surely, 2^4004832 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 4004832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5662440).

4004832 is an abundant number, since it is smaller than the sum of its proper divisors (7320048).

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

4004832 is a wasteful number, since it uses less digits than its factorization.

4004832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3235 (or 3227 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4004832 is about 2001.2076354042. The cubic root of 4004832 is about 158.8039988249.

Adding to 4004832 its reverse (2384004), we get a palindrome (6388836).

The spelling of 4004832 in words is "four million, four thousand, eight hundred thirty-two".