450384 has 40 divisors (see below), whose sum is σ = 1270752. Its totient is φ = 136320.

The previous prime is 450383. The next prime is 450391. The reversal of 450384 is 483054.

It is a happy number.

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

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102 + ... + 954.

2⁴⁵⁰³⁸⁴ is an apocalyptic number.

450384 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635376).

450384 is an abundant number, since it is smaller than the sum of its proper divisors (820368).

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

450384 is a wasteful number, since it uses less digits than its factorization.

450384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 450384 is about 671.1065489175. The cubic root of 450384 is about 76.6527342883.

The spelling of 450384 in words is "four hundred fifty thousand, three hundred eighty-four".