450125032 has 64 divisors (see below), whose sum is σ = 996779520. Its totient is φ = 186556608.

The previous prime is 450125021. The next prime is 450125033. The reversal of 450125032 is 230521054.

It is a super-2 number, since 2×450125032² = 405225088866002048, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 450124994 and 450125012.

It is not an unprimeable number, because it can be changed into a prime (450125033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256783 + ... + 258529.

It is an arithmetic number, because the mean of its divisors is an integer number (15574680).

Almost surely, 2^450125032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450125032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498389760).

450125032 is an abundant number, since it is smaller than the sum of its proper divisors (546654488).

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

450125032 is a wasteful number, since it uses less digits than its factorization.

450125032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 450125032 is about 21216.1502634196. The cubic root of 450125032 is about 766.3803985628.

Adding to 450125032 its reverse (230521054), we get a palindrome (680646086).

The spelling of 450125032 in words is "four hundred fifty million, one hundred twenty-five thousand, thirty-two".