219649872 has 80 divisors (see below), whose sum is σ = 618585408. Its totient is φ = 66754560.

The previous prime is 219649841. The next prime is 219649873. The reversal of 219649872 is 278946912.

219649872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219649873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49672 + ... + 53912.

Almost surely, 2^219649872 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 219649872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309292704).

219649872 is an abundant number, since it is smaller than the sum of its proper divisors (398935536).

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

219649872 is a wasteful number, since it uses less digits than its factorization.

219649872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4348 (or 4342 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 219649872 is about 14820.5894619614. The cubic root of 219649872 is about 603.3606526570.

The spelling of 219649872 in words is "two hundred nineteen million, six hundred forty-nine thousand, eight hundred seventy-two".