450327072 has 96 divisors (see below), whose sum is σ = 1290739968. Its totient is φ = 136636416.

The previous prime is 450327047. The next prime is 450327079. The reversal of 450327072 is 270723054.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (450327079) 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, 88633 + ... + 93575.

It is an arithmetic number, because the mean of its divisors is an integer number (13445208).

Almost surely, 2^450327072 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 450327072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645369984).

450327072 is an abundant number, since it is smaller than the sum of its proper divisors (840412896).

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

450327072 is a wasteful number, since it uses less digits than its factorization.

450327072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5042 (or 5034 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 450327072 is about 21220.9111962705. The cubic root of 450327072 is about 766.4950454748.

The spelling of 450327072 in words is "four hundred fifty million, three hundred twenty-seven thousand, seventy-two".