450312410000 has 100 divisors (see below), whose sum is σ = 1102503570300. Its totient is φ = 178100736000.

The previous prime is 450312409993. The next prime is 450312410071. The reversal of 450312410000 is 14213054.

It can be written as a sum of positive squares in 10 ways, for example, as 450139013776 + 173396224 = 670924^2 + 13168^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 19 ways as a sum of consecutive naturals, for example, 637016 + ... + 1142984.

It is an arithmetic number, because the mean of its divisors is an integer number (11025035703).

Almost surely, 2^450312410000 is an apocalyptic number.

450312410000 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 450312410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551251785150).

450312410000 is an abundant number, since it is smaller than the sum of its proper divisors (652191160300).

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

450312410000 is an equidigital number, since it uses as much as digits as its factorization.

450312410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506086 (or 506065 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 450312410000 its reverse (14213054), we get a palindrome (450326623054).

The spelling of 450312410000 in words is "four hundred fifty billion, three hundred twelve million, four hundred ten thousand".