4630120 has 64 divisors (see below), whose sum is σ = 12052800. Its totient is φ = 1582080.

The previous prime is 4630099. The next prime is 4630121. The reversal of 4630120 is 210364.

It is a super-2 number, since 2×4630120² = 42876022428800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4630094 and 4630103.

It is not an unprimeable number, because it can be changed into a prime (4630121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7171 + ... + 7789.

It is an arithmetic number, because the mean of its divisors is an integer number (188325).

Almost surely, 2^4630120 is an apocalyptic number.

4630120 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 4630120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6026400).

4630120 is an abundant number, since it is smaller than the sum of its proper divisors (7422680).

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

4630120 is a wasteful number, since it uses less digits than its factorization.

4630120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 4630120 is about 2151.7713633191. The cubic root of 4630120 is about 166.6725509034.

Adding to 4630120 its reverse (210364), we get a palindrome (4840484).

The spelling of 4630120 in words is "four million, six hundred thirty thousand, one hundred twenty".