450469289088 has 960 divisors, whose sum is σ = 1747242129600. Its totient is φ = 112493961216.

The previous prime is 450469289063. The next prime is 450469289111. The reversal of 450469289088 is 880982964054.

450469289088 is a `hidden beast` number, since 4 + 5 + 0 + 469 + 2 + 8 + 90 + 88 = 666.

It is a super-2 number, since 2×450469289088² (a number of 24 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 233040570 + ... + 233042502.

It is an arithmetic number, because the mean of its divisors is an integer number (1820043885).

Almost surely, 2^450469289088 is an apocalyptic number.

450469289088 is a gapful number since it is divisible by the number (48) 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 450469289088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873621064800).

450469289088 is an abundant number, since it is smaller than the sum of its proper divisors (1296772840512).

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

450469289088 is a wasteful number, since it uses less digits than its factorization.

450469289088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2011 (or 1977 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 450469289088 in words is "four hundred fifty billion, four hundred sixty-nine million, two hundred eighty-nine thousand, eighty-eight".