214365904 has 40 divisors (see below), whose sum is σ = 438434240. Its totient is φ = 101253888.

The previous prime is 214365881. The next prime is 214365913. The reversal of 214365904 is 409563412.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 214365904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138157 + ... + 139699.

It is an arithmetic number, because the mean of its divisors is an integer number (10960856).

Almost surely, 2^214365904 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 214365904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219217120).

214365904 is an abundant number, since it is smaller than the sum of its proper divisors (224068336).

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

214365904 is a wasteful number, since it uses less digits than its factorization.

214365904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2027 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 214365904 is about 14641.2398382104. The cubic root of 214365904 is about 598.4831164872.

The spelling of 214365904 in words is "two hundred fourteen million, three hundred sixty-five thousand, nine hundred four".