214805304 has 64 divisors (see below), whose sum is σ = 681926400. Its totient is φ = 61372512.

The previous prime is 214805287. The next prime is 214805321. The reversal of 214805304 is 403508412.

214805304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (214805287) and next prime (214805321).

It is a super-2 number, since 2×214805304² = 92282637253064832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69522 + ... + 72545.

It is an arithmetic number, because the mean of its divisors is an integer number (10655100).

Almost surely, 2^214805304 is an apocalyptic number.

214805304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214805304 is an abundant number, since it is smaller than the sum of its proper divisors (467121096).

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

214805304 is a wasteful number, since it uses less digits than its factorization.

214805304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142089 (or 142079 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 214805304 is about 14656.2377164128. The cubic root of 214805304 is about 598.8917542459.

The spelling of 214805304 in words is "two hundred fourteen million, eight hundred five thousand, three hundred four".