454560 has 48 divisors (see below), whose sum is σ = 1433376. Its totient is φ = 121088.

The previous prime is 454547. The next prime is 454577. The reversal of 454560 is 65454.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 454560.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 454560.

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 7 ways as a sum of consecutive naturals, for example, 7 + ... + 953.

It is an arithmetic number, because the mean of its divisors is an integer number (29862).

2⁴⁵⁴⁵⁶⁰ is an apocalyptic number.

454560 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 454560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716688).

454560 is an abundant number, since it is smaller than the sum of its proper divisors (978816).

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

454560 is a wasteful number, since it uses less digits than its factorization.

454560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 454560 is about 674.2106495747. The cubic root of 454560 is about 76.8889161138. Note that the first 3 decimals are identical.

The spelling of 454560 in words is "four hundred fifty-four thousand, five hundred sixty".