450314120 has 32 divisors (see below), whose sum is σ = 1014151320. Its totient is φ = 179957760.

The previous prime is 450314113. The next prime is 450314131. The reversal of 450314120 is 21413054.

It can be written as a sum of positive squares in 4 ways, for example, as 335695684 + 114618436 = 18322^2 + 10706^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 450314092 and 450314101.

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 7 ways as a sum of consecutive naturals, for example, 43880 + ... + 53160.

Almost surely, 2^450314120 is an apocalyptic number.

450314120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450314120 is an abundant number, since it is smaller than the sum of its proper divisors (563837200).

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

450314120 is a wasteful number, since it uses less digits than its factorization.

450314120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10505 (or 10501 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 450314120 is about 21220.6060233915. The cubic root of 450314120 is about 766.4876969351.

Adding to 450314120 its reverse (21413054), we get a palindrome (471727174).

The spelling of 450314120 in words is "four hundred fifty million, three hundred fourteen thousand, one hundred twenty".