450016 has 48 divisors (see below), whose sum is σ = 1058400. Its totient is φ = 188160.

The previous prime is 450011. The next prime is 450019. The reversal of 450016 is 610054.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450011) by changing a digit.

450016 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10956 + ... + 10996.

It is an arithmetic number, because the mean of its divisors is an integer number (22050).

2⁴⁵⁰⁰¹⁶ 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 450016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529200).

450016 is an abundant number, since it is smaller than the sum of its proper divisors (608384).

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

450016 is an equidigital number, since it uses as much as digits as its factorization.

450016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 450016 is about 670.8323188398. The cubic root of 450016 is about 76.6318514472.

The spelling of 450016 in words is "four hundred fifty thousand, sixteen".