4716900 has 72 divisors (see below), whose sum is σ = 15172640. Its totient is φ = 1257120.

The previous prime is 4716889. The next prime is 4716913. The reversal of 4716900 is 96174.

It is a super-2 number, since 2×4716900² = 44498291220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1827 + ... + 3573.

Almost surely, 2^4716900 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 4716900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7586320).

4716900 is an abundant number, since it is smaller than the sum of its proper divisors (10455740).

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

4716900 is a wasteful number, since it uses less digits than its factorization.

4716900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 4716900 is about 2171.8425357286. The cubic root of 4716900 is about 167.7073988434.

The spelling of 4716900 in words is "four million, seven hundred sixteen thousand, nine hundred".