450408 has 48 divisors (see below), whose sum is σ = 1313280. Its totient is φ = 128352.

The previous prime is 450403. The next prime is 450413. The reversal of 450408 is 804054.

It is an interprime number because it is at equal distance from previous prime (450403) and next prime (450413).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450403) by changing a digit.

450408 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 11 ways as a sum of consecutive naturals, for example, 985 + ... + 1367.

It is an arithmetic number, because the mean of its divisors is an integer number (27360).

2⁴⁵⁰⁴⁰⁸ 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 450408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656640).

450408 is an abundant number, since it is smaller than the sum of its proper divisors (862872).

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

450408 is a wasteful number, since it uses less digits than its factorization.

450408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 450408 is about 671.1244295956. The cubic root of 450408 is about 76.6540958175.

It can be divided in two parts, 450 and 408, that added together give a palindrome (858).

The spelling of 450408 in words is "four hundred fifty thousand, four hundred eight".