216714304 has 56 divisors (see below), whose sum is σ = 467360000. Its totient is φ = 99325440.

The previous prime is 216714293. The next prime is 216714307. The reversal of 216714304 is 403417612.

It is not an unprimeable number, because it can be changed into a prime (216714307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34822 + ... + 40570.

Almost surely, 2^216714304 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 216714304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233680000).

216714304 is an abundant number, since it is smaller than the sum of its proper divisors (250645696).

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

216714304 is a wasteful number, since it uses less digits than its factorization.

216714304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5811 (or 5801 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 216714304 is about 14721.2195147005. The cubic root of 216714304 is about 600.6606648622.

It can be divided in two parts, 2167 and 14304, that added together give a triangular number (16471 = T₁₈₁).

The spelling of 216714304 in words is "two hundred sixteen million, seven hundred fourteen thousand, three hundred four".