450332532 has 72 divisors (see below), whose sum is σ = 1268216040. Its totient is φ = 133781760.

The previous prime is 450332501. The next prime is 450332537. The reversal of 450332532 is 235233054.

It can be written as a sum of positive squares in 4 ways, for example, as 14107536 + 436224996 = 3756^2 + 20886^2 .

It is a junction number, because it is equal to n+sod(n) for n = 450332496 and 450332505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450332537) 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 23 ways as a sum of consecutive naturals, for example, 3019 + ... + 30162.

Almost surely, 2^450332532 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 450332532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634108020).

450332532 is an abundant number, since it is smaller than the sum of its proper divisors (817883508).

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

450332532 is a wasteful number, since it uses less digits than its factorization.

450332532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33233 (or 33228 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 450332532 is about 21221.0398425713. The cubic root of 450332532 is about 766.4981432573.

Adding to 450332532 its reverse (235233054), we get a palindrome (685565586).

The spelling of 450332532 in words is "four hundred fifty million, three hundred thirty-two thousand, five hundred thirty-two".