451560 has 64 divisors (see below), whose sum is σ = 1399680. Its totient is φ = 116480.

The previous prime is 451553. The next prime is 451579. The reversal of 451560 is 65154.

It is a happy number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 451560.

It is an unprimeable number.

451560 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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6325 + ... + 6395.

It is an arithmetic number, because the mean of its divisors is an integer number (21870).

2⁴⁵¹⁵⁶⁰ is an apocalyptic number.

451560 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 451560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699840).

451560 is an abundant number, since it is smaller than the sum of its proper divisors (948120).

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

451560 is a wasteful number, since it uses less digits than its factorization.

451560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 451560 is about 671.9821426199. The cubic root of 451560 is about 76.7193924222.

The spelling of 451560 in words is "four hundred fifty-one thousand, five hundred sixty".