214305040 has 40 divisors (see below), whose sum is σ = 499800600. Its totient is φ = 85456896.

The previous prime is 214305029. The next prime is 214305059. The reversal of 214305040 is 40503412.

It can be written as a sum of positive squares in 4 ways, for example, as 7750656 + 206554384 = 2784^2 + 14372^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 214304999 and 214305017.

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, 22986 + ... + 30934.

It is an arithmetic number, because the mean of its divisors is an integer number (12495015).

Almost surely, 2^214305040 is an apocalyptic number.

214305040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214305040 is an abundant number, since it is smaller than the sum of its proper divisors (285495560).

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

214305040 is a wasteful number, since it uses less digits than its factorization.

214305040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8299 (or 8293 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 214305040 is about 14639.1611781550. The cubic root of 214305040 is about 598.4264695365.

Adding to 214305040 its reverse (40503412), we get a palindrome (254808452).

The spelling of 214305040 in words is "two hundred fourteen million, three hundred five thousand, forty".