219471840 has 144 divisors (see below), whose sum is σ = 855979488. Its totient is φ = 50162688.

The previous prime is 219471829. The next prime is 219471851. The reversal of 219471840 is 48174912.

It is an interprime number because it is at equal distance from previous prime (219471829) and next prime (219471851).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 219471795 and 219471804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 807 + ... + 20966.

It is an arithmetic number, because the mean of its divisors is an integer number (5944302).

Almost surely, 2^219471840 is an apocalyptic number.

219471840 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 219471840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427989744).

219471840 is an abundant number, since it is smaller than the sum of its proper divisors (636507648).

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

219471840 is a wasteful number, since it uses less digits than its factorization.

219471840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21801 (or 21790 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 219471840 is about 14814.5820055782. The cubic root of 219471840 is about 603.1975953674.

The spelling of 219471840 in words is "two hundred nineteen million, four hundred seventy-one thousand, eight hundred forty".