4855584 has 48 divisors (see below), whose sum is σ = 13099968. Its totient is φ = 1573632.

The previous prime is 4855579. The next prime is 4855597.

4855584 is nontrivially palindromic in base 10.

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

It is a super-3 number, since 3×4855584³ (a number of 21 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2869 + ... + 4235.

It is an arithmetic number, because the mean of its divisors is an integer number (272916).

Almost surely, 2^4855584 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 4855584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6549984).

4855584 is an abundant number, since it is smaller than the sum of its proper divisors (8244384).

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

4855584 is a wasteful number, since it uses less digits than its factorization.

4855584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417 (or 1409 counting only the distinct ones).

The product of its digits is 128000, while the sum is 39.

The square root of 4855584 is about 2203.5389717452. The cubic root of 4855584 is about 169.3351657616.

The spelling of 4855584 in words is "four million, eight hundred fifty-five thousand, five hundred eighty-four".