450984 has 64 divisors (see below), whose sum is σ = 1267200. Its totient is φ = 133056.

The previous prime is 450971. The next prime is 450991. The reversal of 450984 is 489054.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 450984.

It is an unprimeable number.

450984 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10467 + ... + 10509.

It is an arithmetic number, because the mean of its divisors is an integer number (19800).

2⁴⁵⁰⁹⁸⁴ 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 450984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633600).

450984 is an abundant number, since it is smaller than the sum of its proper divisors (816216).

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

450984 is a wasteful number, since it uses less digits than its factorization.

450984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 450984 is about 671.5534230424. The cubic root of 450984 is about 76.6867580194.

The spelling of 450984 in words is "four hundred fifty thousand, nine hundred eighty-four".