450251433225 has 108 divisors (see below), whose sum is σ = 938572732188. Its totient is φ = 205462118400.

The previous prime is 450251433197. The next prime is 450251433227. The reversal of 450251433225 is 522334152054.

450251433225 is a `hidden beast` number, since 4 + 50 + 251 + 4 + 332 + 25 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2943279504 + 447308153721 = 54252^2 + 668811^2 .

It is not a de Polignac number, because 450251433225 - 2¹⁴ = 450251416841 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 450251433225.

It is not an unprimeable number, because it can be changed into a prime (450251433227) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 23592 + ... + 949241.

It is an arithmetic number, because the mean of its divisors is an integer number (8690488261).

Almost surely, 2^450251433225 is an apocalyptic number.

450251433225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

450251433225 is an abundant number, since it is smaller than the sum of its proper divisors (488321298963).

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

450251433225 is a wasteful number, since it uses less digits than its factorization.

450251433225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972888 (or 972869 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 450251433225 its reverse (522334152054), we get a palindrome (972585585279).

The spelling of 450251433225 in words is "four hundred fifty billion, two hundred fifty-one million, four hundred thirty-three thousand, two hundred twenty-five".