450223530120 has 512 divisors, whose sum is σ = 1850358988800. Its totient is φ = 94823156736.

The previous prime is 450223530109. The next prime is 450223530121. The reversal of 450223530120 is 21035322054.

It is a happy number.

450223530120 is a `hidden beast` number, since 4 + 5 + 0 + 2 + 2 + 3 + 530 + 120 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (450223530121) 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 127 ways as a sum of consecutive naturals, for example, 59652187 + ... + 59659733.

It is an arithmetic number, because the mean of its divisors is an integer number (3613982400).

Almost surely, 2^450223530120 is an apocalyptic number.

450223530120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450223530120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925179494400).

450223530120 is an abundant number, since it is smaller than the sum of its proper divisors (1400135458680).

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

450223530120 is a wasteful number, since it uses less digits than its factorization.

450223530120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8194 (or 8184 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 450223530120 its reverse (21035322054), we get a palindrome (471258852174).

The spelling of 450223530120 in words is "four hundred fifty billion, two hundred twenty-three million, five hundred thirty thousand, one hundred twenty".