219438240 has 96 divisors (see below), whose sum is σ = 789989760. Its totient is φ = 50156544.

The previous prime is 219438229. The next prime is 219438257. The reversal of 219438240 is 42834912.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 29295 + ... + 36014.

It is an arithmetic number, because the mean of its divisors is an integer number (8229060).

Almost surely, 2^219438240 is an apocalyptic number.

219438240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

219438240 is an abundant number, since it is smaller than the sum of its proper divisors (570551520).

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

219438240 is a wasteful number, since it uses less digits than its factorization.

219438240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65334 (or 65326 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 219438240 is about 14813.4479443511. The cubic root of 219438240 is about 603.1668116556.

The spelling of 219438240 in words is "two hundred nineteen million, four hundred thirty-eight thousand, two hundred forty".