4884100 has 81 divisors (see below), whose sum is σ = 12191277. Its totient is φ = 1697280.

The previous prime is 4884097. The next prime is 4884101. The reversal of 4884100 is 14884.

The square root of 4884100 is 2210.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 3556996 + 1327104 = 1886^2 + 1152^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4884101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 287292 + ... + 287308.

Almost surely, 2^4884100 is an apocalyptic number.

4884100 is the 2210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4884100

4884100 is an abundant number, since it is smaller than the sum of its proper divisors (7307177).

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

4884100 is a wasteful number, since it uses less digits than its factorization.

4884100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The cubic root of 4884100 is about 169.6660109276. Note that the first 3 decimals are identical.

Multiplying 4884100 by its sum of digits (25), we get a square (122102500 = 11050²).

4884100 divided by its sum of digits (25) gives a square (195364 = 442²).

Multiplying 4884100 by its product of nonzero digits (1024), we get a square (5001318400 = 70720²).

Adding to 4884100 its reverse (14884), we get a palindrome (4898984).

Multiplying 4884100 by its reverse (14884), we get a square (72694944400 = 269620²).

It can be divided in two parts, 48 and 84100, that added together give a palindrome (84148).

The spelling of 4884100 in words is "four million, eight hundred eighty-four thousand, one hundred".