450666720 has 288 divisors, whose sum is σ = 1835719200. Its totient is φ = 102961152.

The previous prime is 450666707. The next prime is 450666751. The reversal of 450666720 is 27666054.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 47 ways as a sum of consecutive naturals, for example, 210616 + ... + 212744.

It is an arithmetic number, because the mean of its divisors is an integer number (6374025).

Almost surely, 2^450666720 is an apocalyptic number.

450666720 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 450666720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917859600).

450666720 is an abundant number, since it is smaller than the sum of its proper divisors (1385052480).

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

450666720 is a wasteful number, since it uses less digits than its factorization.

450666720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 450666720 is about 21228.9123602694. The cubic root of 450666720 is about 766.6877003261.

The spelling of 450666720 in words is "four hundred fifty million, six hundred sixty-six thousand, seven hundred twenty".