450031300446 has 192 divisors, whose sum is σ = 1194789476160. Its totient is φ = 111622533120.

The previous prime is 450031300373. The next prime is 450031300447. The reversal of 450031300446 is 644003130054.

It is a super-2 number, since 2×450031300446² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450031300447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 154701640 + ... + 154704548.

It is an arithmetic number, because the mean of its divisors is an integer number (6222861855).

Almost surely, 2^450031300446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450031300446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597394738080).

450031300446 is an abundant number, since it is smaller than the sum of its proper divisors (744758175714).

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

450031300446 is a wasteful number, since it uses less digits than its factorization.

450031300446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5339 (or 5332 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 450031300446 in words is "four hundred fifty billion, thirty-one million, three hundred thousand, four hundred forty-six".