450422784 has 144 divisors (see below), whose sum is σ = 1487172960. Its totient is φ = 128655360.

The previous prime is 450422783. The next prime is 450422801. The reversal of 450422784 is 487224054.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (450422783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127279 + ... + 130769.

It is an arithmetic number, because the mean of its divisors is an integer number (10327590).

Almost surely, 2^450422784 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 450422784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743586480).

450422784 is an abundant number, since it is smaller than the sum of its proper divisors (1036750176).

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

450422784 is a wasteful number, since it uses less digits than its factorization.

450422784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3526 (or 3503 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 450422784 is about 21223.1662105351. The cubic root of 450422784 is about 766.5493449543.

The spelling of 450422784 in words is "four hundred fifty million, four hundred twenty-two thousand, seven hundred eighty-four".