450442944 has 140 divisors (see below), whose sum is σ = 1526127504. Its totient is φ = 128687616.

The previous prime is 450442913. The next prime is 450442963. The reversal of 450442944 is 449244054.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 450442899 and 450442908.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30082 + ... + 42494.

Almost surely, 2^450442944 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 450442944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763063752).

450442944 is an abundant number, since it is smaller than the sum of its proper divisors (1075684560).

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

450442944 is a wasteful number, since it uses less digits than its factorization.

450442944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12444 (or 12425 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 450442944 is about 21223.6411579163. The cubic root of 450442944 is about 766.5607811759.

Adding to 450442944 its reverse (449244054), we get a palindrome (899686998).

The spelling of 450442944 in words is "four hundred fifty million, four hundred forty-two thousand, nine hundred forty-four".