450005376 has 64 divisors (see below), whose sum is σ = 1198540800. Its totient is φ = 149598720.

The previous prime is 450005321. The next prime is 450005377. The reversal of 450005376 is 673500054.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450005377) 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 7 ways as a sum of consecutive naturals, for example, 164145 + ... + 166863.

It is an arithmetic number, because the mean of its divisors is an integer number (18727200).

Almost surely, 2^450005376 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 450005376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599270400).

450005376 is an abundant number, since it is smaller than the sum of its proper divisors (748535424).

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

450005376 is a wasteful number, since it uses less digits than its factorization.

450005376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3167 (or 3155 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 450005376 is about 21213.3301487532. The cubic root of 450005376 is about 766.3124839959.

The spelling of 450005376 in words is "four hundred fifty million, five thousand, three hundred seventy-six".