450954816 has 224 divisors, whose sum is σ = 1394520960. Its totient is φ = 127401984.

The previous prime is 450954773. The next prime is 450954821. The reversal of 450954816 is 618459054.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1754560 + ... + 1754816.

It is an arithmetic number, because the mean of its divisors is an integer number (6225540).

Almost surely, 2^450954816 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 450954816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697260480).

450954816 is an abundant number, since it is smaller than the sum of its proper divisors (943566144).

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

450954816 is a wasteful number, since it uses less digits than its factorization.

450954816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 450954816 is about 21235.6967392172. The cubic root of 450954816 is about 766.8510380357.

The spelling of 450954816 in words is "four hundred fifty million, nine hundred fifty-four thousand, eight hundred sixteen".