450214400 has 120 divisors (see below), whose sum is σ = 1181626380. Its totient is φ = 169410560.

The previous prime is 450214393. The next prime is 450214403. The reversal of 450214400 is 4412054.

It can be written as a sum of positive squares in 6 ways, for example, as 144384256 + 305830144 = 12016^2 + 17488^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (450214403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216566 + ... + 218634.

Almost surely, 2^450214400 is an apocalyptic number.

450214400 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 450214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590813190).

450214400 is an abundant number, since it is smaller than the sum of its proper divisors (731411980).

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

450214400 is a wasteful number, since it uses less digits than its factorization.

450214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 450214400 is about 21218.2562902798. The cubic root of 450214400 is about 766.4311143613.

Adding to 450214400 its reverse (4412054), we get a palindrome (454626454).

The spelling of 450214400 in words is "four hundred fifty million, two hundred fourteen thousand, four hundred".