450424032 has 144 divisors (see below), whose sum is σ = 1282336272. Its totient is φ = 138332160.

The previous prime is 450424003. The next prime is 450424033. The reversal of 450424032 is 230424054.

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

It is a junction number, because it is equal to n+sod(n) for n = 450423993 and 450424011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450424033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1420738 + ... + 1421054.

It is an arithmetic number, because the mean of its divisors is an integer number (8905113).

Almost surely, 2^450424032 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 450424032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641168136).

450424032 is an abundant number, since it is smaller than the sum of its proper divisors (831912240).

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

450424032 is a wasteful number, since it uses less digits than its factorization.

450424032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 450424032 is about 21223.1956123483. The cubic root of 450424032 is about 766.5500529208.

Adding to 450424032 its reverse (230424054), we get a palindrome (680848086).

The spelling of 450424032 in words is "four hundred fifty million, four hundred twenty-four thousand, thirty-two".