450990449280 has 1536 divisors, whose sum is σ = 1907530560000. Its totient is φ = 98062368768.

The previous prime is 450990449219. The next prime is 450990449281. The reversal of 450990449280 is 82944099054.

450990449280 is a `hidden beast` number, since 4 + 509 + 9 + 0 + 44 + 92 + 8 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (450990449281) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6177951324 + ... + 6177951396.

It is an arithmetic number, because the mean of its divisors is an integer number (1241881875).

Almost surely, 2^450990449280 is an apocalyptic number.

450990449280 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 450990449280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953765280000).

450990449280 is an abundant number, since it is smaller than the sum of its proper divisors (1456540110720).

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

450990449280 is a wasteful number, since it uses less digits than its factorization.

450990449280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 450990449280 in words is "four hundred fifty billion, nine hundred ninety million, four hundred forty-nine thousand, two hundred eighty".