4216500 has 72 divisors (see below), whose sum is σ = 13315848. Its totient is φ = 1123200.

The previous prime is 4216469. The next prime is 4216501. The reversal of 4216500 is 56124.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 933156 + 3283344 = 966^2 + 1812^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4216501) 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, 4032 + ... + 4968.

Almost surely, 2^4216500 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 4216500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6657924).

4216500 is an abundant number, since it is smaller than the sum of its proper divisors (9099348).

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

4216500 is a wasteful number, since it uses less digits than its factorization.

4216500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 4216500 is about 2053.4117950377. The cubic root of 4216500 is about 161.5538708482.

The spelling of 4216500 in words is "four million, two hundred sixteen thousand, five hundred".