216849304 has 48 divisors (see below), whose sum is σ = 485790480. Its totient is φ = 90417600.

The previous prime is 216849277. The next prime is 216849317. The reversal of 216849304 is 403948612.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7029 + ... + 21979.

It is an arithmetic number, because the mean of its divisors is an integer number (10120635).

Almost surely, 2^216849304 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 216849304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242895240).

216849304 is an abundant number, since it is smaller than the sum of its proper divisors (268941176).

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

216849304 is a wasteful number, since it uses less digits than its factorization.

216849304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15008 (or 14997 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 216849304 is about 14725.8040187964. The cubic root of 216849304 is about 600.7853641493.

The spelling of 216849304 in words is "two hundred sixteen million, eight hundred forty-nine thousand, three hundred four".