450400 has 36 divisors (see below), whose sum is σ = 1101492. Its totient is φ = 179840.

The previous prime is 450391. The next prime is 450403. The reversal of 450400 is 4054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450403) 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 5 ways as a sum of consecutive naturals, for example, 519 + ... + 1081.

It is an arithmetic number, because the mean of its divisors is an integer number (30597).

2⁴⁵⁰⁴⁰⁰ is an apocalyptic number.

450400 is a gapful number since it is divisible by the number (40) 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 450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550746).

450400 is an abundant number, since it is smaller than the sum of its proper divisors (651092).

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

450400 is a wasteful number, since it uses less digits than its factorization.

450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 450400 is about 671.1184694225. The cubic root of 450400 is about 76.6536419798.

Adding to 450400 its reverse (4054), we get a palindrome (454454).

The spelling of 450400 in words is "four hundred fifty thousand, four hundred".