450022400 has 66 divisors (see below), whose sum is σ = 1115574060. Its totient is φ = 179998720.

The previous prime is 450022399. The next prime is 450022409. The reversal of 450022400 is 4220054.

It is not an unprimeable number, because it can be changed into a prime (450022409) 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, 16811 + ... + 34389.

Almost surely, 2^450022400 is an apocalyptic number.

450022400 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 450022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557787030).

450022400 is an abundant number, since it is smaller than the sum of its proper divisors (665551660).

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

450022400 is a wasteful number, since it uses less digits than its factorization.

450022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17609 (or 17586 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 450022400 is about 21213.7314020895. The cubic root of 450022400 is about 766.3221472428.

Adding to 450022400 its reverse (4220054), we get a palindrome (454242454).

The spelling of 450022400 in words is "four hundred fifty million, twenty-two thousand, four hundred".