450540840960 has 1728 divisors, whose sum is σ = 1966287960000. Its totient is φ = 94829543424.

The previous prime is 450540840947. The next prime is 450540840961. The reversal of 450540840960 is 69048045054.

450540840960 is a `hidden beast` number, since 4 + 5 + 0 + 540 + 8 + 40 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450540840961) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5062256596 + ... + 5062256684.

It is an arithmetic number, because the mean of its divisors is an integer number (1137898125).

Almost surely, 2^450540840960 is an apocalyptic number.

450540840960 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 450540840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983143980000).

450540840960 is an abundant number, since it is smaller than the sum of its proper divisors (1515747119040).

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

450540840960 is a wasteful number, since it uses less digits than its factorization.

450540840960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 450540840960 in words is "four hundred fifty billion, five hundred forty million, eight hundred forty thousand, nine hundred sixty".