4585840 has 80 divisors (see below), whose sum is σ = 12856320. Its totient is φ = 1486080.

The previous prime is 4585831. The next prime is 4585877. The reversal of 4585840 is 485854.

4585840 = T₉₅ + T₉₆ + ... + T₃₀₄.

4585840 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an Ulam number.

4585840 is strictly pandigital in base 8.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 4585796 and 4585805.

It is a congruent number.

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, 10425 + ... + 10855.

It is an arithmetic number, because the mean of its divisors is an integer number (160704).

Almost surely, 2^4585840 is an apocalyptic number.

4585840 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 4585840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6428160).

4585840 is an abundant number, since it is smaller than the sum of its proper divisors (8270480).

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

4585840 is a wasteful number, since it uses less digits than its factorization.

4585840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 34.

The square root of 4585840 is about 2141.4574476277. The cubic root of 4585840 is about 166.1395256027.

The spelling of 4585840 in words is "four million, five hundred eighty-five thousand, eight hundred forty".