4666900 has 72 divisors (see below), whose sum is σ = 11874240. Its totient is φ = 1559040.

The previous prime is 4666889. The next prime is 4666903. The reversal of 4666900 is 96664.

4666900 = 420² + 421² + ... + 444².

It is a super-2 number, since 2×4666900² = 43559911220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4666903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41244 + ... + 41356.

It is an arithmetic number, because the mean of its divisors is an integer number (164920).

Almost surely, 2^4666900 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 4666900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5937120).

4666900 is an abundant number, since it is smaller than the sum of its proper divisors (7207340).

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

4666900 is a wasteful number, since it uses less digits than its factorization.

4666900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 4666900 is about 2160.3009049667. The cubic root of 4666900 is about 167.1127162846.

The spelling of 4666900 in words is "four million, six hundred sixty-six thousand, nine hundred".