450303245600 has 144 divisors (see below), whose sum is σ = 1203931693440. Its totient is φ = 163447526400.

The previous prime is 450303245573. The next prime is 450303245627. The reversal of 450303245600 is 6542303054.

It is an interprime number because it is at equal distance from previous prime (450303245573) and next prime (450303245627).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246665 + ... + 980535.

It is an arithmetic number, because the mean of its divisors is an integer number (8360636760).

Almost surely, 2^450303245600 is an apocalyptic number.

450303245600 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 450303245600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601965846720).

450303245600 is an abundant number, since it is smaller than the sum of its proper divisors (753628447840).

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

450303245600 is a wasteful number, since it uses less digits than its factorization.

450303245600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733963 (or 733950 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

Adding to 450303245600 its reverse (6542303054), we get a palindrome (456845548654).

The spelling of 450303245600 in words is "four hundred fifty billion, three hundred three million, two hundred forty-five thousand, six hundred".