4830120 has 48 divisors (see below), whose sum is σ = 15699060. Its totient is φ = 1287936.

The previous prime is 4830113. The next prime is 4830127. The reversal of 4830120 is 210384.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4830113) and next prime (4830127).

It can be written as a sum of positive squares in 2 ways, for example, as 4743684 + 86436 = 2178^2 + 294^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4830093 and 4830102.

It is not an unprimeable number, because it can be changed into a prime (4830127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6349 + ... + 7068.

Almost surely, 2^4830120 is an apocalyptic number.

4830120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4830120 is an abundant number, since it is smaller than the sum of its proper divisors (10868940).

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

4830120 is a wasteful number, since it uses less digits than its factorization.

4830120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13434 (or 13427 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4830120 is about 2197.7533983593. The cubic root of 4830120 is about 169.0386336055.

It can be divided in two parts, 4830 and 120, that added together give a triangular number (4950 = T₉₉).

The spelling of 4830120 in words is "four million, eight hundred thirty thousand, one hundred twenty".