450464220 has 96 divisors (see below), whose sum is σ = 1411905600. Its totient is φ = 119227392.

The previous prime is 450464219. The next prime is 450464299. The reversal of 450464220 is 22464054.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 70936 + ... + 77024.

It is an arithmetic number, because the mean of its divisors is an integer number (14707350).

Almost surely, 2^450464220 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 450464220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705952800).

450464220 is an abundant number, since it is smaller than the sum of its proper divisors (961441380).

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

450464220 is a wasteful number, since it uses less digits than its factorization.

450464220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6244 (or 6236 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 450464220 is about 21224.1423855005. The cubic root of 450464220 is about 766.5728501039.

The spelling of 450464220 in words is "four hundred fifty million, four hundred sixty-four thousand, two hundred twenty".