450232043520 has 1536 divisors, whose sum is σ = 1843198156800. Its totient is φ = 91559559168.

The previous prime is 450232043519. The next prime is 450232043537. The reversal of 450232043520 is 25340232054.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6167562204 + ... + 6167562276.

It is an arithmetic number, because the mean of its divisors is an integer number (1199998800).

Almost surely, 2^450232043520 is an apocalyptic number.

450232043520 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 450232043520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921599078400).

450232043520 is an abundant number, since it is smaller than the sum of its proper divisors (1392966113280).

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

450232043520 is a wasteful number, since it uses less digits than its factorization.

450232043520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 185 counting only the distinct ones).

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

Adding to 450232043520 its reverse (25340232054), we get a palindrome (475572275574).

The spelling of 450232043520 in words is "four hundred fifty billion, two hundred thirty-two million, forty-three thousand, five hundred twenty".