4560456 has 64 divisors (see below), whose sum is σ = 12254400. Its totient is φ = 1410048.

The previous prime is 4560427. The next prime is 4560467. The reversal of 4560456 is 6540654.

4560456 = T₁₆₅ + T₁₆₆ + ... + T₃₁₆.

4560456 is nontrivially palindromic in base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33220 + ... + 33356.

It is an arithmetic number, because the mean of its divisors is an integer number (191475).

Almost surely, 2^4560456 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 4560456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6127200).

4560456 is an abundant number, since it is smaller than the sum of its proper divisors (7693944).

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

4560456 is a wasteful number, since it uses less digits than its factorization.

4560456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 4560456 is about 2135.5224185196. The cubic root of 4560456 is about 165.8324142156.

The spelling of 4560456 in words is "four million, five hundred sixty thousand, four hundred fifty-six".