450201344 has 144 divisors (see below), whose sum is σ = 1017225216. Its totient is φ = 197836800.

The previous prime is 450201277. The next prime is 450201383. The reversal of 450201344 is 443102054.

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, 6340829 + ... + 6340899.

It is an arithmetic number, because the mean of its divisors is an integer number (7064064).

Almost surely, 2^450201344 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 450201344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508612608).

450201344 is an abundant number, since it is smaller than the sum of its proper divisors (567023872).

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

450201344 is a wasteful number, since it uses less digits than its factorization.

450201344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 450201344 is about 21217.9486284608. The cubic root of 450201344 is about 766.4237055791.

Adding to 450201344 its reverse (443102054), we get a palindrome (893303398).

It can be divided in two parts, 45020 and 1344, that added together give a palindrome (46364).

The spelling of 450201344 in words is "four hundred fifty million, two hundred one thousand, three hundred forty-four".