450758432 has 48 divisors (see below), whose sum is σ = 936401760. Its totient is φ = 213000192.

The previous prime is 450758431. The next prime is 450758443. The reversal of 450758432 is 234857054.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (450758431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 390368 + ... + 391520.

It is an arithmetic number, because the mean of its divisors is an integer number (19508370).

Almost surely, 2^450758432 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 450758432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468200880).

450758432 is an abundant number, since it is smaller than the sum of its proper divisors (485643328).

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

450758432 is a wasteful number, since it uses less digits than its factorization.

450758432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 38.

The square root of 450758432 is about 21231.0723233661. The cubic root of 450758432 is about 766.7397045309.

The spelling of 450758432 in words is "four hundred fifty million, seven hundred fifty-eight thousand, four hundred thirty-two".