450600360 has 256 divisors, whose sum is σ = 1637314560. Its totient is φ = 96983040.

The previous prime is 450600349. The next prime is 450600379. The reversal of 450600360 is 63006054.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 450600360.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1603420 + ... + 1603700.

It is an arithmetic number, because the mean of its divisors is an integer number (6395760).

Almost surely, 2^450600360 is an apocalyptic number.

450600360 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 450600360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818657280).

450600360 is an abundant number, since it is smaller than the sum of its proper divisors (1186714200).

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

450600360 is a wasteful number, since it uses less digits than its factorization.

450600360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 450600360 is about 21227.3493399435. The cubic root of 450600360 is about 766.6500672735.

The spelling of 450600360 in words is "four hundred fifty million, six hundred thousand, three hundred sixty".