450005360 has 80 divisors (see below), whose sum is σ = 1209297600. Its totient is φ = 152537088.

The previous prime is 450005321. The next prime is 450005377. The reversal of 450005360 is 63500054.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 45326 + ... + 54354.

It is an arithmetic number, because the mean of its divisors is an integer number (15116220).

Almost surely, 2^450005360 is an apocalyptic number.

450005360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450005360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604648800).

450005360 is an abundant number, since it is smaller than the sum of its proper divisors (759292240).

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

450005360 is a wasteful number, since it uses less digits than its factorization.

450005360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9138 (or 9132 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 450005360 is about 21213.3297716318. The cubic root of 450005360 is about 766.3124749137.

The spelling of 450005360 in words is "four hundred fifty million, five thousand, three hundred sixty".