450814896 has 300 divisors, whose sum is σ = 1573619520. Its totient is φ = 124104960.

The previous prime is 450814867. The next prime is 450814913. The reversal of 450814896 is 698418054.

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 59 ways as a sum of consecutive naturals, for example, 1968510 + ... + 1968738.

Almost surely, 2^450814896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450814896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786809760).

450814896 is an abundant number, since it is smaller than the sum of its proper divisors (1122804624).

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

450814896 is a wasteful number, since it uses less digits than its factorization.

450814896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 450814896 is about 21232.4020308584. The cubic root of 450814896 is about 766.7717182660.

The spelling of 450814896 in words is "four hundred fifty million, eight hundred fourteen thousand, eight hundred ninety-six".