219000400 has 30 divisors (see below), whose sum is σ = 526149422. Its totient is φ = 87600000.

The previous prime is 219000359. The next prime is 219000413. The reversal of 219000400 is 4000912.

It can be written as a sum of positive squares in 3 ways, for example, as 197136 + 218803264 = 444^2 + 14792^2 .

It is a super-2 number, since 2×219000400² = 95922350400320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 273351 + ... + 274150.

Almost surely, 2^219000400 is an apocalyptic number.

219000400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

219000400 is an abundant number, since it is smaller than the sum of its proper divisors (307149022).

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

219000400 is a wasteful number, since it uses less digits than its factorization.

219000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547519 (or 547508 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 219000400 is about 14798.6621016901. The cubic root of 219000400 is about 602.7653829950.

The spelling of 219000400 in words is "two hundred nineteen million, four hundred", and thus it is an aban number.