451260 has 72 divisors (see below), whose sum is σ = 1441440. Its totient is φ = 114048.

The previous prime is 451249. The next prime is 451277. The reversal of 451260 is 62154.

It is a happy number.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 451260.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4086 + ... + 4194.

It is an arithmetic number, because the mean of its divisors is an integer number (20020).

2⁴⁵¹²⁶⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720720).

451260 is an abundant number, since it is smaller than the sum of its proper divisors (990180).

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

451260 is a wasteful number, since it uses less digits than its factorization.

451260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 451260 is about 671.7588853153. The cubic root of 451260 is about 76.7023988026.

The spelling of 451260 in words is "four hundred fifty-one thousand, two hundred sixty".