450816 has 36 divisors (see below), whose sum is σ = 1201872. Its totient is φ = 150016.

The previous prime is 450811. The next prime is 450817. The reversal of 450816 is 618054.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (450811) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 475 + ... + 1061.

2⁴⁵⁰⁸¹⁶ 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 450816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600936).

450816 is an abundant number, since it is smaller than the sum of its proper divisors (751056).

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

450816 is an equidigital number, since it uses as much as digits as its factorization.

450816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 450816 is about 671.4283282674. The cubic root of 450816 is about 76.6772344181.

The spelling of 450816 in words is "four hundred fifty thousand, eight hundred sixteen".