450161367828480 has 3456 divisors, whose sum is σ = 2129813205811200. Its totient is φ = 85749497856000.

The previous prime is 450161367828439. The next prime is 450161367828577. The reversal of 450161367828480 is 84828763161054.

450161367828480 is a `hidden beast` number, since 4 + 5 + 0 + 1 + 6 + 13 + 67 + 82 + 8 + 480 = 666.

It is a super-2 number, since 2×450161367828480² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 45977052385 + ... + 45977062175.

It is an arithmetic number, because the mean of its divisors is an integer number (616265395200).

Almost surely, 2^{450161367828480} is an apocalyptic number.

450161367828480 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 450161367828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064906602905600).

450161367828480 is an abundant number, since it is smaller than the sum of its proper divisors (1679651837982720).

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

450161367828480 is a wasteful number, since it uses less digits than its factorization.

450161367828480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9903 (or 9869 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 450161367828480 in words is "four hundred fifty trillion, one hundred sixty-one billion, three hundred sixty-seven million, eight hundred twenty-eight thousand, four hundred eighty".