450221604000 has 576 divisors, whose sum is σ = 1729526722560. Its totient is φ = 102080563200.

The previous prime is 450221603999. The next prime is 450221604031. The reversal of 450221604000 is 406122054.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74672986 + ... + 74679014.

It is an arithmetic number, because the mean of its divisors is an integer number (3002650560).

Almost surely, 2^450221604000 is an apocalyptic number.

450221604000 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 450221604000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864763361280).

450221604000 is an abundant number, since it is smaller than the sum of its proper divisors (1279305118560).

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

450221604000 is a wasteful number, since it uses less digits than its factorization.

450221604000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6198 (or 6173 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 450221604000 its reverse (406122054), we get a palindrome (450627726054).

The spelling of 450221604000 in words is "four hundred fifty billion, two hundred twenty-one million, six hundred four thousand".