4935040 has 64 divisors (see below), whose sum is σ = 12888720. Its totient is φ = 1792000.

The previous prime is 4935013. The next prime is 4935043. The reversal of 4935040 is 405394.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 4934996 and 4935014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4935043) 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, 6690 + ... + 7390.

Almost surely, 2^4935040 is an apocalyptic number.

4935040 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 4935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6444360).

4935040 is an abundant number, since it is smaller than the sum of its proper divisors (7953680).

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

4935040 is a wasteful number, since it uses less digits than its factorization.

4935040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 4935040 is about 2221.4949921168. The cubic root of 4935040 is about 170.2538307304.

The spelling of 4935040 in words is "four million, nine hundred thirty-five thousand, forty".