452671633920 has 640 divisors, whose sum is σ = 1624061767680. Its totient is φ = 106620846080.

The previous prime is 452671633913. The next prime is 452671633937. The reversal of 452671633920 is 29336176254.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 452671633920.

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 63 ways as a sum of consecutive naturals, for example, 686906551 + ... + 686907209.

It is an arithmetic number, because the mean of its divisors is an integer number (2537596512).

Almost surely, 2^452671633920 is an apocalyptic number.

452671633920 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 452671633920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812030883840).

452671633920 is an abundant number, since it is smaller than the sum of its proper divisors (1171390133760).

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

452671633920 is a wasteful number, since it uses less digits than its factorization.

452671633920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 48.

The spelling of 452671633920 in words is "four hundred fifty-two billion, six hundred seventy-one million, six hundred thirty-three thousand, nine hundred twenty".