424032 has 48 divisors (see below), whose sum is σ = 1274112. Its totient is φ = 120960.

The previous prime is 424027. The next prime is 424037. The reversal of 424032 is 230424.

424032 = 49² + 50² + ... + 111².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (424027) and next prime (424037).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 424032.

It is not an unprimeable number, because it can be changed into a prime (424037) 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 + ... + 987.

It is an arithmetic number, because the mean of its divisors is an integer number (26544).

2⁴²⁴⁰³² is an apocalyptic number.

424032 is a gapful number since it is divisible by the number (42) 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 424032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637056).

424032 is an abundant number, since it is smaller than the sum of its proper divisors (850080).

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

424032 is a wasteful number, since it uses less digits than its factorization.

424032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 424032 is about 651.1773951851. The cubic root of 424032 is about 75.1276049920.

Adding to 424032 its reverse (230424), we get a palindrome (654456).

The spelling of 424032 in words is "four hundred twenty-four thousand, thirty-two".