450400000000 has 216 divisors, whose sum is σ = 1127724031980. Its totient is φ = 179840000000.

The previous prime is 450399999997. The next prime is 450400000069. The reversal of 450400000000 is 4054.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 799999719 + ... + 800000281.

Almost surely, 2^450400000000 is an apocalyptic number.

450400000000 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 450400000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563862015990).

450400000000 is an abundant number, since it is smaller than the sum of its proper divisors (677324031980).

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

450400000000 is an frugal number, since it uses more digits than its factorization.

450400000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

Adding to 450400000000 its reverse (4054), we get a palindrome (450400004054).

The spelling of 450400000000 in words is "four hundred fifty billion, four hundred million", and thus it is an aban number.