450351233000 has 128 divisors (see below), whose sum is σ = 1122663784320. Its totient is φ = 168502809600.

The previous prime is 450351232997. The next prime is 450351233009. The reversal of 450351233000 is 332153054.

It is not an unprimeable number, because it can be changed into a prime (450351233009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2689739 + ... + 2852261.

It is an arithmetic number, because the mean of its divisors is an integer number (8770810815).

Almost surely, 2^450351233000 is an apocalyptic number.

450351233000 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 450351233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561331892160).

450351233000 is an abundant number, since it is smaller than the sum of its proper divisors (672312551320).

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

450351233000 is a wasteful number, since it uses less digits than its factorization.

450351233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162724 (or 162710 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 26.

Adding to 450351233000 its reverse (332153054), we get a palindrome (450683386054).

The spelling of 450351233000 in words is "four hundred fifty billion, three hundred fifty-one million, two hundred thirty-three thousand".