4182432 has 48 divisors (see below), whose sum is σ = 11561760. Its totient is φ = 1320192.

The previous prime is 4182421. The next prime is 4182433. The reversal of 4182432 is 2342814.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (4182433) 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, 678 + ... + 2970.

It is an arithmetic number, because the mean of its divisors is an integer number (240870).

Almost surely, 2^4182432 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 4182432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5780880).

4182432 is an abundant number, since it is smaller than the sum of its proper divisors (7379328).

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

4182432 is a wasteful number, since it uses less digits than its factorization.

4182432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2325 (or 2317 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 4182432 is about 2045.0995085814. The cubic root of 4182432 is about 161.1175921645.

It can be divided in two parts, 418 and 2432, that added together give a triangular number (2850 = T₇₅).

The spelling of 4182432 in words is "four million, one hundred eighty-two thousand, four hundred thirty-two".