450420000000 has 288 divisors, whose sum is σ = 1498663350912. Its totient is φ = 120096000000.

The previous prime is 450419999941. The next prime is 450420000011. The reversal of 450420000000 is 24054.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59996247 + ... + 60003753.

Almost surely, 2^450420000000 is an apocalyptic number.

450420000000 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 450420000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749331675456).

450420000000 is an abundant number, since it is smaller than the sum of its proper divisors (1048243350912).

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

450420000000 is an frugal number, since it uses more digits than its factorization.

450420000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7561 (or 7517 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

Adding to 450420000000 its reverse (24054), we get a palindrome (450420024054).

The spelling of 450420000000 in words is "four hundred fifty billion, four hundred twenty million", and thus it is an aban number.