214284240 has 60 divisors (see below), whose sum is σ = 719640324. Its totient is φ = 57142272.

The previous prime is 214284227. The next prime is 214284253. The reversal of 214284240 is 42482412.

214284240 is a `hidden beast` number, since 214 + 28 + 424 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (214284227) and next prime (214284253).

It can be written as a sum of positive squares in 2 ways, for example, as 157854096 + 56430144 = 12564^2 + 7512^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148089 + ... + 149528.

Almost surely, 2^214284240 is an apocalyptic number.

214284240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214284240 is an abundant number, since it is smaller than the sum of its proper divisors (505356084).

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

214284240 is a wasteful number, since it uses less digits than its factorization.

214284240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297636 (or 297627 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 214284240 is about 14638.4507376976. The cubic root of 214284240 is about 598.4071082353.

The spelling of 214284240 in words is "two hundred fourteen million, two hundred eighty-four thousand, two hundred forty".