213985404 has 72 divisors (see below), whose sum is σ = 556424960. Its totient is φ = 69312672.

The previous prime is 213985397. The next prime is 213985441. The reversal of 213985404 is 404589312.

213985404 is a `hidden beast` number, since 21 + 3 + 98 + 540 + 4 = 666.

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

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, 189987 + ... + 191109.

Almost surely, 2^213985404 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 213985404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278212480).

213985404 is an abundant number, since it is smaller than the sum of its proper divisors (342439556).

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

213985404 is a wasteful number, since it uses less digits than its factorization.

213985404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 213985404 is about 14628.2399488113. The cubic root of 213985404 is about 598.1288037743.

The spelling of 213985404 in words is "two hundred thirteen million, nine hundred eighty-five thousand, four hundred four".