450720 has 72 divisors (see below), whose sum is σ = 1542996. Its totient is φ = 119808.

The previous prime is 450719. The next prime is 450727. The reversal of 450720 is 27054.

It is a happy number.

450720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 374544 + 76176 = 612^2 + 276^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 450693 and 450702.

It is not an unprimeable number, because it can be changed into a prime (450727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1284 + ... + 1596.

2⁴⁵⁰⁷²⁰ is an apocalyptic number.

450720 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 450720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771498).

450720 is an abundant number, since it is smaller than the sum of its proper divisors (1092276).

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

450720 is a wasteful number, since it uses less digits than its factorization.

450720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 450720 is about 671.3568350736. The cubic root of 450720 is about 76.6717912979.

Adding to 450720 its reverse (27054), we get a palindrome (477774).

The spelling of 450720 in words is "four hundred fifty thousand, seven hundred twenty".