451080 has 96 divisors (see below), whose sum is σ = 1684800. Its totient is φ = 102528.

The previous prime is 451069. The next prime is 451093. The reversal of 451080 is 80154.

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

It is an unprimeable number.

451080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 23 ways as a sum of consecutive naturals, for example, 2431 + ... + 2609.

It is an arithmetic number, because the mean of its divisors is an integer number (17550).

2⁴⁵¹⁰⁸⁰ is an apocalyptic number.

451080 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 451080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842400).

451080 is an abundant number, since it is smaller than the sum of its proper divisors (1233720).

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

451080 is a wasteful number, since it uses less digits than its factorization.

451080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 451080 is about 671.6248953099. The cubic root of 451080 is about 76.6921990154.

The spelling of 451080 in words is "four hundred fifty-one thousand, eighty".