450104319 has 48 divisors (see below), whose sum is σ = 816192000. Its totient is φ = 233057088.

The previous prime is 450104311. The next prime is 450104339. The reversal of 450104319 is 913401054.

It is not a de Polignac number, because 450104319 - 2³ = 450104311 is a prime.

It is a super-2 number, since 2×450104319² = 405187795964907522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 450104292 and 450104301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450104311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19357 + ... + 35705.

It is an arithmetic number, because the mean of its divisors is an integer number (17004000).

Almost surely, 2^450104319 is an apocalyptic number.

450104319 is a deficient number, since it is larger than the sum of its proper divisors (366087681).

450104319 is a wasteful number, since it uses less digits than its factorization.

450104319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16404 (or 16401 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 450104319 is about 21215.6621155221. The cubic root of 450104319 is about 766.3686431026.

The spelling of 450104319 in words is "four hundred fifty million, one hundred four thousand, three hundred nineteen".