4579456 has 64 divisors (see below), whose sum is σ = 11016000. Its totient is φ = 1852416.

The previous prime is 4579451. The next prime is 4579459. The reversal of 4579456 is 6549754.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4579451) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 16890 + ... + 17158.

It is an arithmetic number, because the mean of its divisors is an integer number (172125).

Almost surely, 2^4579456 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 4579456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5508000).

4579456 is an abundant number, since it is smaller than the sum of its proper divisors (6436544).

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

4579456 is a wasteful number, since it uses less digits than its factorization.

4579456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 297 counting only the distinct ones).

The product of its digits is 151200, while the sum is 40.

The square root of 4579456 is about 2139.9663548757. The cubic root of 4579456 is about 166.0623948926.

The spelling of 4579456 in words is "four million, five hundred seventy-nine thousand, four hundred fifty-six".