450830886912 has 768 divisors, whose sum is σ = 1631479449600. Its totient is φ = 120076369920.

The previous prime is 450830886893. The next prime is 450830886943. The reversal of 450830886912 is 219688038054.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 862009083 + ... + 862009605.

It is an arithmetic number, because the mean of its divisors is an integer number (2124322200).

Almost surely, 2^450830886912 is an apocalyptic number.

450830886912 is a gapful number since it is divisible by the number (42) 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 450830886912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815739724800).

450830886912 is an abundant number, since it is smaller than the sum of its proper divisors (1180648562688).

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

450830886912 is a wasteful number, since it uses less digits than its factorization.

450830886912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 450830886912 in words is "four hundred fifty billion, eight hundred thirty million, eight hundred eighty-six thousand, nine hundred twelve".