216442944 has 63 divisors (see below), whose sum is σ = 621408333. Its totient is φ = 72029952.

The previous prime is 216442931. The next prime is 216442981. The reversal of 216442944 is 449244612.

It is a happy number.

The square root of 216442944 is 14712.

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

216442944 is a `hidden beast` number, since 2 + 1 + 644 + 2 + 9 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 705600 + 215737344 = 840^2 + 14688^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 216442899 and 216442908.

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, 352782 + ... + 353394.

Almost surely, 2^216442944 is an apocalyptic number.

216442944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

216442944 is the 14712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216442944

216442944 is an abundant number, since it is smaller than the sum of its proper divisors (404965389).

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

216442944 is an frugal number, since it uses more digits than its factorization.

216442944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 618 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The cubic root of 216442944 is about 600.4098533034.

Multiplying 216442944 by its sum of digits (36), we get a square (7791945984 = 88272²).

216442944 divided by its sum of digits (36) gives a square (6012304 = 2452²).

The spelling of 216442944 in words is "two hundred sixteen million, four hundred forty-two thousand, nine hundred forty-four".