450255220 has 48 divisors (see below), whose sum is σ = 975698640. Its totient is φ = 174403584.

The previous prime is 450255173. The next prime is 450255229. The reversal of 450255220 is 22552054.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 101163364 + 349091856 = 10058^2 + 18684^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450255229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168132 + ... + 170788.

It is an arithmetic number, because the mean of its divisors is an integer number (20327055).

Almost surely, 2^450255220 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 450255220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487849320).

450255220 is an abundant number, since it is smaller than the sum of its proper divisors (525443420).

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

450255220 is a wasteful number, since it uses less digits than its factorization.

450255220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2932 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 25.

The square root of 450255220 is about 21219.2181759838. The cubic root of 450255220 is about 766.4542772311.

The spelling of 450255220 in words is "four hundred fifty million, two hundred fifty-five thousand, two hundred twenty".