450330224000 has 128 divisors (see below), whose sum is σ = 1146943324800. Its totient is φ = 175738368000.

The previous prime is 450330223957. The next prime is 450330224059. The reversal of 450330224000 is 422033054.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312761 + ... + 999239.

It is an arithmetic number, because the mean of its divisors is an integer number (8960494725).

Almost surely, 2^450330224000 is an apocalyptic number.

450330224000 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 450330224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573471662400).

450330224000 is an abundant number, since it is smaller than the sum of its proper divisors (696613100800).

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

450330224000 is an equidigital number, since it uses as much as digits as its factorization.

450330224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686549 (or 686527 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

Adding to 450330224000 its reverse (422033054), we get a palindrome (450752257054).

The spelling of 450330224000 in words is "four hundred fifty billion, three hundred thirty million, two hundred twenty-four thousand".