4759040 has 120 divisors (see below), whose sum is σ = 13479048. Its totient is φ = 1597440.

The previous prime is 4759021. The next prime is 4759081. The reversal of 4759040 is 409574.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 4758994 and 4759012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 366074 + ... + 366086.

Almost surely, 2^4759040 is an apocalyptic number.

4759040 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 4759040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6739524).

4759040 is an abundant number, since it is smaller than the sum of its proper divisors (8720008).

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

4759040 is a wasteful number, since it uses less digits than its factorization.

4759040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 4759040 is about 2181.5224041939. The cubic root of 4759040 is about 168.2053422614.

The spelling of 4759040 in words is "four million, seven hundred fifty-nine thousand, forty".