450512972 has 48 divisors (see below), whose sum is σ = 972410880. Its totient is φ = 177844032.

The previous prime is 450512957. The next prime is 450512989. The reversal of 450512972 is 279215054.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 219929 + ... + 221967.

It is an arithmetic number, because the mean of its divisors is an integer number (20258560).

Almost surely, 2^450512972 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 450512972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486205440).

450512972 is an abundant number, since it is smaller than the sum of its proper divisors (521897908).

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

450512972 is a wasteful number, since it uses less digits than its factorization.

450512972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670 (or 2668 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

The square root of 450512972 is about 21225.2908578422. The cubic root of 450512972 is about 766.6005035111.

The spelling of 450512972 in words is "four hundred fifty million, five hundred twelve thousand, nine hundred seventy-two".