450222400 has 84 divisors (see below), whose sum is σ = 1131588288. Its totient is φ = 176227840.

The previous prime is 450222389. The next prime is 450222413. The reversal of 450222400 is 4222054.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72207 + ... + 78193.

Almost surely, 2^450222400 is an apocalyptic number.

450222400 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 450222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565794144).

450222400 is an abundant number, since it is smaller than the sum of its proper divisors (681365888).

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

450222400 is a wasteful number, since it uses less digits than its factorization.

450222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6056 (or 6041 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 450222400 is about 21218.4448063471. Note that the first 3 decimals coincide. The cubic root of 450222400 is about 766.4356539855.

Adding to 450222400 its reverse (4222054), we get a palindrome (454444454).

The spelling of 450222400 in words is "four hundred fifty million, two hundred twenty-two thousand, four hundred".