219924468 has 72 divisors (see below), whose sum is σ = 597717120. Its totient is φ = 67962240.

The previous prime is 219924437. The next prime is 219924469. The reversal of 219924468 is 864429912.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (248832) is a multiple of the sum of its prime divisors (6912).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219924469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28728 + ... + 35568.

Almost surely, 2^219924468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219924468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298858560).

219924468 is an abundant number, since it is smaller than the sum of its proper divisors (377792652).

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

219924468 is a wasteful number, since it uses less digits than its factorization.

219924468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6917 (or 6912 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 219924468 is about 14829.8505724097. The cubic root of 219924468 is about 603.6119790463.

The spelling of 219924468 in words is "two hundred nineteen million, nine hundred twenty-four thousand, four hundred sixty-eight".