216746400 has 144 divisors (see below), whose sum is σ = 759888864. Its totient is φ = 53345280.

The previous prime is 216746381. The next prime is 216746401. The reversal of 216746400 is 4647612.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (216746401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27727 + ... + 34673.

It is an arithmetic number, because the mean of its divisors is an integer number (5277006).

Almost surely, 2^216746400 is an apocalyptic number.

216746400 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 216746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379944432).

216746400 is an abundant number, since it is smaller than the sum of its proper divisors (543142464).

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

216746400 is a wasteful number, since it uses less digits than its factorization.

216746400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6983 (or 6970 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 216746400 is about 14722.3096014178. The cubic root of 216746400 is about 600.6903165782.

The spelling of 216746400 in words is "two hundred sixteen million, seven hundred forty-six thousand, four hundred".