214413240 has 64 divisors (see below), whose sum is σ = 665431200. Its totient is φ = 55204352.

The previous prime is 214413239. The next prime is 214413263. The reversal of 214413240 is 42314412.

214413240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27327 + ... + 34286.

Almost surely, 2^214413240 is an apocalyptic number.

214413240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214413240 is an abundant number, since it is smaller than the sum of its proper divisors (451017960).

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

214413240 is a wasteful number, since it uses less digits than its factorization.

214413240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61656 (or 61652 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 214413240 is about 14642.8562787456. The cubic root of 214413240 is about 598.5271653328.

Adding to 214413240 its reverse (42314412), we get a palindrome (256727652).

The spelling of 214413240 in words is "two hundred fourteen million, four hundred thirteen thousand, two hundred forty".