450944 has 32 divisors (see below), whose sum is σ = 971040. Its totient is φ = 207360.

The previous prime is 450943. The next prime is 450949. The reversal of 450944 is 449054.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×450944² = 406700982272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1529 + ... + 1799.

It is an arithmetic number, because the mean of its divisors is an integer number (30345).

2⁴⁵⁰⁹⁴⁴ 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 450944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485520).

450944 is an abundant number, since it is smaller than the sum of its proper divisors (520096).

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

450944 is a wasteful number, since it uses less digits than its factorization.

450944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 450944 is about 671.5236406859. The cubic root of 450944 is about 76.6844907098.

Adding to 450944 its reverse (449054), we get a palindrome (899998).

The spelling of 450944 in words is "four hundred fifty thousand, nine hundred forty-four".