4578840 has 192 divisors, whose sum is σ = 17971200. Its totient is φ = 988416.

The previous prime is 4578823. The next prime is 4578841. The reversal of 4578840 is 488754.

4578840 is a `hidden beast` number, since 4 + 578 + 84 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4578795 and 4578804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4578841) 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 47 ways as a sum of consecutive naturals, for example, 57921 + ... + 57999.

It is an arithmetic number, because the mean of its divisors is an integer number (93600).

Almost surely, 2^4578840 is an apocalyptic number.

4578840 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 4578840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8985600).

4578840 is an abundant number, since it is smaller than the sum of its proper divisors (13392360).

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

4578840 is a wasteful number, since it uses less digits than its factorization.

4578840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 4578840 is about 2139.8224225388. The cubic root of 4578840 is about 166.0549486645.

The spelling of 4578840 in words is "four million, five hundred seventy-eight thousand, eight hundred forty".