219528468 has 120 divisors (see below), whose sum is σ = 607400640. Its totient is φ = 68999040.

The previous prime is 219528457. The next prime is 219528469. The reversal of 219528468 is 864825912.

219528468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219528469) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 663063 + ... + 663393.

It is an arithmetic number, because the mean of its divisors is an integer number (5061672).

Almost surely, 2^219528468 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 219528468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303700320).

219528468 is an abundant number, since it is smaller than the sum of its proper divisors (387872172).

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

219528468 is a wasteful number, since it uses less digits than its factorization.

219528468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 448 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 219528468 is about 14816.4931073449. The cubic root of 219528468 is about 603.2494698069.

The spelling of 219528468 in words is "two hundred nineteen million, five hundred twenty-eight thousand, four hundred sixty-eight".