450688885920 has 960 divisors, whose sum is σ = 2060742055680. Its totient is φ = 90081165312.

The previous prime is 450688885909. The next prime is 450688885921. The reversal of 450688885920 is 29588886054.

450688885920 is a `hidden beast` number, since 450 + 6 + 8 + 88 + 85 + 9 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (450688885921) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22397784 + ... + 22417896.

It is an arithmetic number, because the mean of its divisors is an integer number (2146606308).

Almost surely, 2^450688885920 is an apocalyptic number.

450688885920 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 450688885920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030371027840).

450688885920 is an abundant number, since it is smaller than the sum of its proper divisors (1610053169760).

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

450688885920 is a wasteful number, since it uses less digits than its factorization.

450688885920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20179 (or 20162 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 63.

The spelling of 450688885920 in words is "four hundred fifty billion, six hundred eighty-eight million, eight hundred eighty-five thousand, nine hundred twenty".