450022350400 has 126 divisors (see below), whose sum is σ = 1288126061538. Its totient is φ = 154293350400.

The previous prime is 450022350311. The next prime is 450022350431. The reversal of 450022350400 is 4053220054.

It can be written as a sum of positive squares in 3 ways, for example, as 21395497984 + 428626852416 = 146272^2 + 654696^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2791641 + ... + 2948440.

Almost surely, 2^450022350400 is an apocalyptic number.

450022350400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450022350400 is an abundant number, since it is smaller than the sum of its proper divisors (838103711138).

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

450022350400 is a wasteful number, since it uses less digits than its factorization.

450022350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5740117 (or 5740095 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

Adding to 450022350400 its reverse (4053220054), we get a palindrome (454075570454).

The spelling of 450022350400 in words is "four hundred fifty billion, twenty-two million, three hundred fifty thousand, four hundred".