4657840 has 80 divisors (see below), whose sum is σ = 12142080. Its totient is φ = 1647360.

The previous prime is 4657823. The next prime is 4657853. The reversal of 4657840 is 487564.

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

It is a junction number, because it is equal to n+sod(n) for n = 4657796 and 4657805.

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, 58921 + ... + 58999.

It is an arithmetic number, because the mean of its divisors is an integer number (151776).

Almost surely, 2^4657840 is an apocalyptic number.

4657840 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 4657840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6071040).

4657840 is an abundant number, since it is smaller than the sum of its proper divisors (7484240).

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

4657840 is a wasteful number, since it uses less digits than its factorization.

4657840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 4657840 is about 2158.2029561652. The cubic root of 4657840 is about 167.0045058366.

The spelling of 4657840 in words is "four million, six hundred fifty-seven thousand, eight hundred forty".