450161230200 has 768 divisors, whose sum is σ = 1641494937600. Its totient is φ = 100953600000.

The previous prime is 450161230199. The next prime is 450161230219. The reversal of 450161230200 is 2032161054.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 939793561 + ... + 939794039.

It is an arithmetic number, because the mean of its divisors is an integer number (2137363200).

Almost surely, 2^450161230200 is an apocalyptic number.

450161230200 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 450161230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820747468800).

450161230200 is an abundant number, since it is smaller than the sum of its proper divisors (1191333707400).

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

450161230200 is a wasteful number, since it uses less digits than its factorization.

450161230200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 450161230200 its reverse (2032161054), we get a palindrome (452193391254).

It can be divided in two parts, 450161 and 230200, that added together give a triangular number (680361 = T₁₁₆₆).

The spelling of 450161230200 in words is "four hundred fifty billion, one hundred sixty-one million, two hundred thirty thousand, two hundred".