216798400 has 168 divisors, whose sum is σ = 657006560. Its totient is φ = 68567040.

The previous prime is 216798397. The next prime is 216798409. The reversal of 216798400 is 4897612.

It is a self number, because there is not a number n which added to its sum of digits gives 216798400.

It is not an unprimeable number, because it can be changed into a prime (216798409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144856 + ... + 146344.

Almost surely, 2^216798400 is an apocalyptic number.

216798400 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 216798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328503280).

216798400 is an abundant number, since it is smaller than the sum of its proper divisors (440208160).

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

216798400 is a wasteful number, since it uses less digits than its factorization.

216798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 216798400 is about 14724.0755227620. The cubic root of 216798400 is about 600.7383502847.

The spelling of 216798400 in words is "two hundred sixteen million, seven hundred ninety-eight thousand, four hundred".