450252220 has 48 divisors (see below), whose sum is σ = 1034718048. Its totient is φ = 163215360.

The previous prime is 450252203. The next prime is 450252227. The reversal of 450252220 is 22252054.

It is a happy number.

It is a super-2 number, since 2×450252220² = 405454123229856800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 450252191 and 450252200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450252227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71104 + ... + 77176.

It is an arithmetic number, because the mean of its divisors is an integer number (21556626).

Almost surely, 2^450252220 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 450252220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517359024).

450252220 is an abundant number, since it is smaller than the sum of its proper divisors (584465828).

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

450252220 is a wasteful number, since it uses less digits than its factorization.

450252220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6430 (or 6428 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 450252220 is about 21219.1474852314. The cubic root of 450252220 is about 766.4525749610.

The spelling of 450252220 in words is "four hundred fifty million, two hundred fifty-two thousand, two hundred twenty".