4585248 has 120 divisors (see below), whose sum is σ = 14178780. Its totient is φ = 1451520.

The previous prime is 4585183. The next prime is 4585249. The reversal of 4585248 is 8425854.

It can be written as a sum of positive squares in 2 ways, for example, as 4210704 + 374544 = 2052^2 + 612^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 4³ + 5³ + 8² + 5⁸ + 2 + 4¹¹ + 8² .

It is not an unprimeable number, because it can be changed into a prime (4585249) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 75138 + ... + 75198.

Almost surely, 2^4585248 is an apocalyptic number.

4585248 is a gapful number since it is divisible by the number (48) 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 4585248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7089390).

4585248 is an abundant number, since it is smaller than the sum of its proper divisors (9593532).

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

4585248 is a wasteful number, since it uses less digits than its factorization.

4585248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 95 counting only the distinct ones).

The product of its digits is 51200, while the sum is 36.

The square root of 4585248 is about 2141.3192195467. The cubic root of 4585248 is about 166.1323761432.

Subtracting 4585248 from its reverse (8425854), we obtain a triangular number (3840606 = T₂₇₇₁).

The spelling of 4585248 in words is "four million, five hundred eighty-five thousand, two hundred forty-eight".