450117993 has 32 divisors (see below), whose sum is σ = 694624896. Its totient is φ = 256785408.

The previous prime is 450117989. The next prime is 450118003. The reversal of 450117993 is 399711054.

It is a happy number.

It is not a de Polignac number, because 450117993 - 2² = 450117989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (450117953) 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 31 ways as a sum of consecutive naturals, for example, 39355 + ... + 49487.

It is an arithmetic number, because the mean of its divisors is an integer number (21707028).

Almost surely, 2^450117993 is an apocalyptic number.

It is an amenable number.

450117993 is a deficient number, since it is larger than the sum of its proper divisors (244506903).

450117993 is a wasteful number, since it uses less digits than its factorization.

450117993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10233.

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 450117993 is about 21215.9843749942. The cubic root of 450117993 is about 766.3764036878.

The spelling of 450117993 in words is "four hundred fifty million, one hundred seventeen thousand, nine hundred ninety-three".