450025345440 has 576 divisors, whose sum is σ = 1755170726400. Its totient is φ = 103993344000.

The previous prime is 450025345423. The next prime is 450025345463. The reversal of 450025345440 is 44543520054.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 450025345395 and 450025345404.

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, 36283240 + ... + 36295640.

It is an arithmetic number, because the mean of its divisors is an integer number (3047171400).

Almost surely, 2^450025345440 is an apocalyptic number.

450025345440 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 450025345440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877585363200).

450025345440 is an abundant number, since it is smaller than the sum of its proper divisors (1305145380960).

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

450025345440 is a wasteful number, since it uses less digits than its factorization.

450025345440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12541 (or 12530 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

Adding to 450025345440 its reverse (44543520054), we get a palindrome (494568865494).

The spelling of 450025345440 in words is "four hundred fifty billion, twenty-five million, three hundred forty-five thousand, four hundred forty".