216004400 has 60 divisors (see below), whose sum is σ = 531648264. Its totient is φ = 84288000.

The previous prime is 216004391. The next prime is 216004403. The reversal of 216004400 is 4400612.

216004400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (216004403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9815 + ... + 22985.

Almost surely, 2^216004400 is an apocalyptic number.

216004400 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 216004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265824132).

216004400 is an abundant number, since it is smaller than the sum of its proper divisors (315643864).

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

216004400 is a wasteful number, since it uses less digits than its factorization.

216004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13230 (or 13219 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 216004400 is about 14697.0881469766. The cubic root of 216004400 is about 600.0040740464.

The spelling of 216004400 in words is "two hundred sixteen million, four thousand, four hundred".