216449600 has 42 divisors (see below), whose sum is σ = 532605234. Its totient is φ = 86579200.

The previous prime is 216449581. The next prime is 216449609. The reversal of 216449600 is 6944612.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 36675136 + 179774464 = 6056^2 + 13408^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (216449609) 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 5 ways as a sum of consecutive naturals, for example, 66041 + ... + 69240.

It is an arithmetic number, because the mean of its divisors is an integer number (12681077).

Almost surely, 2^216449600 is an apocalyptic number.

216449600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216449600 is an abundant number, since it is smaller than the sum of its proper divisors (316155634).

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

216449600 is a wasteful number, since it uses less digits than its factorization.

216449600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135303 (or 135288 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 216449600 is about 14712.2262081576. The cubic root of 216449600 is about 600.4160077922.

The spelling of 216449600 in words is "two hundred sixteen million, four hundred forty-nine thousand, six hundred".