450080 has 48 divisors (see below), whose sum is σ = 1111320. Its totient is φ = 172032.

The previous prime is 450077. The next prime is 450083. The reversal of 450080 is 80054.

It is an interprime number because it is at equal distance from previous prime (450077) and next prime (450083).

It can be written as a sum of positive squares in 4 ways, for example, as 355216 + 94864 = 596^2 + 308^2 .

It is not an unprimeable number, because it can be changed into a prime (450083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4592 + ... + 4688.

2⁴⁵⁰⁰⁸⁰ is an apocalyptic number.

450080 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 450080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555660).

450080 is an abundant number, since it is smaller than the sum of its proper divisors (661240).

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

450080 is a wasteful number, since it uses less digits than its factorization.

450080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 450080 is about 670.8800190794. The cubic root of 450080 is about 76.6354840632.

It can be divided in two parts, 4500 and 80, that multiplied together give a square (360000 = 600²).

The spelling of 450080 in words is "four hundred fifty thousand, eighty".