219276864 has 63 divisors (see below), whose sum is σ = 629537857. Its totient is φ = 72973824.

The previous prime is 219276851. The next prime is 219276877. The reversal of 219276864 is 468672912.

It is a happy number.

The square root of 219276864 is 14808.

It is a perfect power (a square), and thus also a powerful number.

219276864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (219276851) and next prime (219276877).

It can be written as a sum of positive squares in only one way, i.e., 6350400 + 212926464 = 2520^2 + 14592^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 355084 + ... + 355700.

Almost surely, 2^219276864 is an apocalyptic number.

219276864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

219276864 is the 14808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219276864

219276864 is an abundant number, since it is smaller than the sum of its proper divisors (410260993).

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

219276864 is an frugal number, since it uses more digits than its factorization.

219276864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 622 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The cubic root of 219276864 is about 603.0189180801.

The spelling of 219276864 in words is "two hundred nineteen million, two hundred seventy-six thousand, eight hundred sixty-four".