450884954520 has 2048 divisors, whose sum is σ = 2158313472000. Its totient is φ = 81629337600.

The previous prime is 450884954519. The next prime is 450884954521. The reversal of 450884954520 is 25459488054.

450884954520 is a `hidden beast` number, since 4 + 50 + 8 + 8 + 49 + 545 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (450884954519) and next prime (450884954521).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450884954521) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1663781985 + ... + 1663782255.

It is an arithmetic number, because the mean of its divisors is an integer number (1053864000).

Almost surely, 2^450884954520 is an apocalyptic number.

450884954520 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 450884954520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079156736000).

450884954520 is an abundant number, since it is smaller than the sum of its proper divisors (1707428517480).

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

450884954520 is a wasteful number, since it uses less digits than its factorization.

450884954520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 450884954520 in words is "four hundred fifty billion, eight hundred eighty-four million, nine hundred fifty-four thousand, five hundred twenty".