219420000 has 360 divisors, whose sum is σ = 828972144. Its totient is φ = 54912000.

The previous prime is 219419951. The next prime is 219420007. The reversal of 219420000 is 24912.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219420007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4139974 + ... + 4140026.

Almost surely, 2^219420000 is an apocalyptic number.

219420000 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 219420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414486072).

219420000 is an abundant number, since it is smaller than the sum of its proper divisors (609552144).

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

219420000 is a wasteful number, since it uses less digits than its factorization.

219420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 219420000 is about 14812.8322747542. The cubic root of 219420000 is about 603.1500991819.

Adding to 219420000 its reverse (24912), we get a palindrome (219444912).

The spelling of 219420000 in words is "two hundred nineteen million, four hundred twenty thousand".