216398304 has 144 divisors (see below), whose sum is σ = 676127088. Its totient is φ = 67848192.

The previous prime is 216398297. The next prime is 216398327. The reversal of 216398304 is 403893612.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131374 + ... + 133010.

It is an arithmetic number, because the mean of its divisors is an integer number (4695327).

Almost surely, 2^216398304 is an apocalyptic number.

216398304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216398304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338063544).

216398304 is an abundant number, since it is smaller than the sum of its proper divisors (459728784).

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

216398304 is a wasteful number, since it uses less digits than its factorization.

216398304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 216398304 is about 14710.4827928930. The cubic root of 216398304 is about 600.3685735429.

The spelling of 216398304 in words is "two hundred sixteen million, three hundred ninety-eight thousand, three hundred four".