4620 has 48 divisors (see below), whose sum is σ = 16128. Its totient is φ = 960.

The previous prime is 4603. The next prime is 4621. The reversal of 4620 is 264.

Adding to 4620 its reverse (264), we get a palindrome (4884).

Subtracting from 4620 its reverse (264), we obtain a square (4356 = 66^{2}).

It can be divided in two parts, 46 and 20, that added together give a palindrome (66).

It is a super-3 number, since 3×4620^{3} = 295833384000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 6.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 4596 and 4605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4621) 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, 415 + ... + 425.

It is an arithmetic number, because the mean of its divisors is an integer number (336).

2^{4620} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8064).

4620 is an abundant number, since it is smaller than the sum of its proper divisors (11508).

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

4620 is a wasteful number, since it uses less digits than its factorization.

4620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 4620 is about 67.9705818719. The cubic root of 4620 is about 16.6551030900.

The spelling of 4620 in words is "four thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 4620

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