219380920 has 128 divisors (see below), whose sum is σ = 576979200. Its totient is φ = 74188800.

The previous prime is 219380899. The next prime is 219380947. The reversal of 219380920 is 29083912.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1039615 + ... + 1039825.

It is an arithmetic number, because the mean of its divisors is an integer number (4507650).

Almost surely, 2^219380920 is an apocalyptic number.

219380920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219380920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288489600).

219380920 is an abundant number, since it is smaller than the sum of its proper divisors (357598280).

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

219380920 is a wasteful number, since it uses less digits than its factorization.

219380920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 219380920 is about 14811.5130894855. The cubic root of 219380920 is about 603.1142888556.

The spelling of 219380920 in words is "two hundred nineteen million, three hundred eighty thousand, nine hundred twenty".