4759840 has 48 divisors (see below), whose sum is σ = 11430720. Its totient is φ = 1872640.

The previous prime is 4759837. The next prime is 4759841. The reversal of 4759840 is 489574.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 4759840.

It is not an unprimeable number, because it can be changed into a prime (4759841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11151 + ... + 11569.

It is an arithmetic number, because the mean of its divisors is an integer number (238140).

Almost surely, 2^4759840 is an apocalyptic number.

4759840 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 4759840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5715360).

4759840 is an abundant number, since it is smaller than the sum of its proper divisors (6670880).

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

4759840 is a wasteful number, since it uses less digits than its factorization.

4759840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 4759840 is about 2181.7057546791. The cubic root of 4759840 is about 168.2147669027.

The spelling of 4759840 in words is "four million, seven hundred fifty-nine thousand, eight hundred forty".