450720816 has 120 divisors (see below), whose sum is σ = 1458750384. Its totient is φ = 118863360.

The previous prime is 450720731. The next prime is 450720817. The reversal of 450720816 is 618027054.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (450720817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23206 + ... + 37946.

Almost surely, 2^450720816 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 450720816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729375192).

450720816 is an abundant number, since it is smaller than the sum of its proper divisors (1008029568).

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

450720816 is a wasteful number, since it uses less digits than its factorization.

450720816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14779 (or 14766 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 450720816 is about 21230.1864334725. The cubic root of 450720816 is about 766.7183756764.

The spelling of 450720816 in words is "four hundred fifty million, seven hundred twenty thousand, eight hundred sixteen".