219400272 has 160 divisors (see below), whose sum is σ = 775228160. Its totient is φ = 57853440.

The previous prime is 219400253. The next prime is 219400273. The reversal of 219400272 is 272004912.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219400273) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 36522 + ... + 42102.

It is an arithmetic number, because the mean of its divisors is an integer number (4845176).

Almost surely, 2^219400272 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 219400272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387614080).

219400272 is an abundant number, since it is smaller than the sum of its proper divisors (555827888).

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

219400272 is a wasteful number, since it uses less digits than its factorization.

219400272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5618 (or 5606 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 219400272 is about 14812.1663506727. The cubic root of 219400272 is about 603.1320222795.

The spelling of 219400272 in words is "two hundred nineteen million, four hundred thousand, two hundred seventy-two".