450442336 has 72 divisors (see below), whose sum is σ = 960860880. Its totient is φ = 207747072.

The previous prime is 450442331. The next prime is 450442337. The reversal of 450442336 is 633244054.

It is a super-2 number, since 2×450442336² = 405796596122273792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 450442298 and 450442307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450442331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 489685 + ... + 490603.

It is an arithmetic number, because the mean of its divisors is an integer number (13345290).

Almost surely, 2^450442336 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 450442336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480430440).

450442336 is an abundant number, since it is smaller than the sum of its proper divisors (510418544).

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

450442336 is a wasteful number, since it uses less digits than its factorization.

450442336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

The square root of 450442336 is about 21223.6268342619. The cubic root of 450442336 is about 766.5604362789.

The spelling of 450442336 in words is "four hundred fifty million, four hundred forty-two thousand, three hundred thirty-six".