216308400 has 240 divisors, whose sum is σ = 864254208. Its totient is φ = 44928000.

The previous prime is 216308383. The next prime is 216308431. The reversal of 216308400 is 4803612.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 91230 + ... + 93570.

Almost surely, 2^216308400 is an apocalyptic number.

216308400 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 216308400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432127104).

216308400 is an abundant number, since it is smaller than the sum of its proper divisors (647945808).

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

216308400 is a wasteful number, since it uses less digits than its factorization.

216308400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2380 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 216308400 is about 14707.4266953808. The cubic root of 216308400 is about 600.2854197600.

The spelling of 216308400 in words is "two hundred sixteen million, three hundred eight thousand, four hundred".