450880269557760 has 3920 divisors, whose sum is σ = 1998232562388960. Its totient is φ = 97339256340480.

The previous prime is 450880269557747. The next prime is 450880269557761. The reversal of 450880269557760 is 67755962088054.

450880269557760 is a `hidden beast` number, since 4 + 5 + 0 + 8 + 8 + 0 + 2 + 6 + 9 + 557 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3920).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (450880269557761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 1362176040795 + ... + 1362176041125.

Almost surely, 2^{450880269557760} is an apocalyptic number.

450880269557760 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 450880269557760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999116281194480).

450880269557760 is an abundant number, since it is smaller than the sum of its proper divisors (1547352292831200).

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

450880269557760 is an frugal number, since it uses more digits than its factorization.

450880269557760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 1016064000, while the sum is 72.

The spelling of 450880269557760 in words is "four hundred fifty trillion, eight hundred eighty billion, two hundred sixty-nine million, five hundred fifty-seven thousand, seven hundred sixty".