450742120 has 32 divisors (see below), whose sum is σ = 1016469000. Its totient is φ = 179888128.

The previous prime is 450742081. The next prime is 450742121. The reversal of 450742120 is 21247054.

It can be written as a sum of positive squares in 4 ways, for example, as 341288676 + 109453444 = 18474^2 + 10462^2 .

It is not an unprimeable number, because it can be changed into a prime (450742121) by changing a digit.

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, 5412 + ... + 30508.

Almost surely, 2^450742120 is an apocalyptic number.

450742120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450742120 is an abundant number, since it is smaller than the sum of its proper divisors (565726880).

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

450742120 is a wasteful number, since it uses less digits than its factorization.

450742120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25557 (or 25553 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 25.

The square root of 450742120 is about 21230.6881659545. The cubic root of 450742120 is about 766.7304555200.

Adding to 450742120 its reverse (21247054), we get a palindrome (471989174).

The spelling of 450742120 in words is "four hundred fifty million, seven hundred forty-two thousand, one hundred twenty".