4829760 has 224 divisors, whose sum is σ = 18775680. Its totient is φ = 1161216.

The previous prime is 4829749. The next prime is 4829761. The reversal of 4829760 is 679284.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4829761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112299 + ... + 112341.

It is an arithmetic number, because the mean of its divisors is an integer number (83820).

Almost surely, 2^4829760 is an apocalyptic number.

4829760 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 4829760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9387840).

4829760 is an abundant number, since it is smaller than the sum of its proper divisors (13945920).

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

4829760 is a wasteful number, since it uses less digits than its factorization.

4829760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4829760 is about 2197.6714950147. The cubic root of 4829760 is about 169.0344338879.

The spelling of 4829760 in words is "four million, eight hundred twenty-nine thousand, seven hundred sixty".