4829040 has 120 divisors (see below), whose sum is σ = 17119440. Its totient is φ = 1216512.

The previous prime is 4829009. The next prime is 4829047. The reversal of 4829040 is 409284.

4829040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 4828995 and 4829013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4829047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13504 + ... + 13856.

It is an arithmetic number, because the mean of its divisors is an integer number (142662).

Almost surely, 2^4829040 is an apocalyptic number.

4829040 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 4829040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8559720).

4829040 is an abundant number, since it is smaller than the sum of its proper divisors (12290400).

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

4829040 is a wasteful number, since it uses less digits than its factorization.

4829040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4829040 is about 2197.5076791675. The cubic root of 4829040 is about 169.0260338265.

The spelling of 4829040 in words is "four million, eight hundred twenty-nine thousand, forty".