450345443328 has 840 divisors, whose sum is σ = 1518633325440. Its totient is φ = 132843110400.

The previous prime is 450345443311. The next prime is 450345443347. The reversal of 450345443328 is 823344543054.

450345443328 is a `hidden beast` number, since 4 + 50 + 3 + 4 + 544 + 33 + 28 = 666.

It is a super-2 number, since 2×450345443328² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5700575193 + ... + 5700575271.

It is an arithmetic number, because the mean of its divisors is an integer number (1807896816).

Almost surely, 2^450345443328 is an apocalyptic number.

450345443328 is a gapful number since it is divisible by the number (48) 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 450345443328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759316662720).

450345443328 is an abundant number, since it is smaller than the sum of its proper divisors (1068287882112).

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

450345443328 is an equidigital number, since it uses as much as digits as its factorization.

450345443328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

The spelling of 450345443328 in words is "four hundred fifty billion, three hundred forty-five million, four hundred forty-three thousand, three hundred twenty-eight".