450423534000 has 1280 divisors, whose sum is σ = 1764915609600. Its totient is φ = 97542144000.

The previous prime is 450423533977. The next prime is 450423534019. The reversal of 450423534000 is 435324054.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3546641937 + ... + 3546642063.

It is an arithmetic number, because the mean of its divisors is an integer number (1378840320).

Almost surely, 2^450423534000 is an apocalyptic number.

450423534000 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 450423534000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882457804800).

450423534000 is an abundant number, since it is smaller than the sum of its proper divisors (1314492075600).

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

450423534000 is a wasteful number, since it uses less digits than its factorization.

450423534000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 450423534000 its reverse (435324054), we get a palindrome (450858858054).

The spelling of 450423534000 in words is "four hundred fifty billion, four hundred twenty-three million, five hundred thirty-four thousand".