4681300 has 54 divisors (see below), whose sum is σ = 11039658. Its totient is φ = 1722240.

The previous prime is 4681297. The next prime is 4681301. The reversal of 4681300 is 31864.

It can be written as a sum of positive squares in 9 ways, for example, as 3732624 + 948676 = 1932^2 + 974^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4681301) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16762 + ... + 17038.

Almost surely, 2^4681300 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 4681300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5519829).

4681300 is an abundant number, since it is smaller than the sum of its proper divisors (6358358).

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

4681300 is a wasteful number, since it uses less digits than its factorization.

4681300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 4681300 is about 2163.6312070221. The cubic root of 4681300 is about 167.2844185776.

It can be divided in two parts, 468 and 1300, that multiplied together give a square (608400 = 780²).

The spelling of 4681300 in words is "four million, six hundred eighty-one thousand, three hundred".