450444240 has 480 divisors, whose sum is σ = 1754887680. Its totient is φ = 106831872.

The previous prime is 450444227. The next prime is 450444251. The reversal of 450444240 is 42444054.

It is a happy number.

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

It is a congruent number.

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, 9583897 + ... + 9583943.

It is an arithmetic number, because the mean of its divisors is an integer number (3656016).

Almost surely, 2^450444240 is an apocalyptic number.

450444240 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 450444240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877443840).

450444240 is an abundant number, since it is smaller than the sum of its proper divisors (1304443440).

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

450444240 is a wasteful number, since it uses less digits than its factorization.

450444240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 450444240 is about 21223.6716898844. The cubic root of 450444240 is about 766.5615163499.

Adding to 450444240 its reverse (42444054), we get a palindrome (492888294).

It can be divided in two parts, 45044 and 4240, that added together give a square (49284 = 222²).

The spelling of 450444240 in words is "four hundred fifty million, four hundred forty-four thousand, two hundred forty".