450156994560 has 2016 divisors, whose sum is σ = 2055802799232. Its totient is φ = 93640458240.

The previous prime is 450156994523. The next prime is 450156994561. The reversal of 450156994560 is 65499651054.

450156994560 is a `hidden beast` number, since 4 + 5 + 0 + 15 + 69 + 9 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 450156994497 and 450156994506.

It is not an unprimeable number, because it can be changed into a prime (450156994561) 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, 6340239325 + ... + 6340239395.

It is an arithmetic number, because the mean of its divisors is an integer number (1019743452).

Almost surely, 2^450156994560 is an apocalyptic number.

450156994560 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 450156994560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027901399616).

450156994560 is an abundant number, since it is smaller than the sum of its proper divisors (1605645804672).

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

450156994560 is an equidigital number, since it uses as much as digits as its factorization.

450156994560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 450156994560 in words is "four hundred fifty billion, one hundred fifty-six million, nine hundred ninety-four thousand, five hundred sixty".