4686900 has 72 divisors (see below), whose sum is σ = 14374080. Its totient is φ = 1175040.

The previous prime is 4686881. The next prime is 4686911. The reversal of 4686900 is 96864.

4686900 is nontrivially palindromic in base 14.

It is a super-2 number, since 2×4686900² = 43934063220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4641 + ... + 5559.

It is an arithmetic number, because the mean of its divisors is an integer number (199640).

Almost surely, 2^4686900 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 4686900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7187040).

4686900 is an abundant number, since it is smaller than the sum of its proper divisors (9687180).

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

4686900 is a wasteful number, since it uses less digits than its factorization.

4686900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 4686900 is about 2164.9249409622. The cubic root of 4686900 is about 167.3510965977.

The spelling of 4686900 in words is "four million, six hundred eighty-six thousand, nine hundred".