450296496 has 240 divisors, whose sum is σ = 1440741120. Its totient is φ = 135302400.

The previous prime is 450296491. The next prime is 450296513. The reversal of 450296496 is 694692054.

It is not an unprimeable number, because it can be changed into a prime (450296491) 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 47 ways as a sum of consecutive naturals, for example, 2982021 + ... + 2982171.

It is an arithmetic number, because the mean of its divisors is an integer number (6003088).

Almost surely, 2^450296496 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 450296496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720370560).

450296496 is an abundant number, since it is smaller than the sum of its proper divisors (990444624).

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

450296496 is a wasteful number, since it uses less digits than its factorization.

450296496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 450296496 is about 21220.1907625733. The cubic root of 450296496 is about 766.4776974297.

The spelling of 450296496 in words is "four hundred fifty million, two hundred ninety-six thousand, four hundred ninety-six".