216938400 has 288 divisors, whose sum is σ = 831196800. Its totient is φ = 48107520.

The previous prime is 216938389. The next prime is 216938521. The reversal of 216938400 is 4839612.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 621426 + ... + 621774.

It is an arithmetic number, because the mean of its divisors is an integer number (2886100).

Almost surely, 2^216938400 is an apocalyptic number.

216938400 is a gapful number since it is divisible by the number (20) 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 216938400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415598400).

216938400 is an abundant number, since it is smaller than the sum of its proper divisors (614258400).

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

216938400 is a wasteful number, since it uses less digits than its factorization.

216938400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 216938400 is about 14728.8288740144. The cubic root of 216938400 is about 600.8676336372.

The spelling of 216938400 in words is "two hundred sixteen million, nine hundred thirty-eight thousand, four hundred".