4636900 has 36 divisors (see below), whose sum is σ = 10194660. Its totient is φ = 1830400.

The previous prime is 4636883. The next prime is 4636909. The reversal of 4636900 is 96364.

It can be written as a sum of positive squares in 6 ways, for example, as 763876 + 3873024 = 874^2 + 1968^2 .

It is a super-2 number, since 2×4636900² = 43001683220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4636909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8640 + ... + 9160.

It is an arithmetic number, because the mean of its divisors is an integer number (283185).

Almost surely, 2^4636900 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 4636900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5097330).

4636900 is an abundant number, since it is smaller than the sum of its proper divisors (5557760).

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

4636900 is a wasteful number, since it uses less digits than its factorization.

4636900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 4636900 is about 2153.3462331915. The cubic root of 4636900 is about 166.7538654814.

The spelling of 4636900 in words is "four million, six hundred thirty-six thousand, nine hundred".