214400316 has 48 divisors (see below), whose sum is σ = 551906208. Its totient is φ = 64358400.

The previous prime is 214400281. The next prime is 214400327. The reversal of 214400316 is 613004412.

214400316 = 1690² + 1691² + ... + 1761².

It is a junction number, because it is equal to n+sod(n) for n = 214400292 and 214400301.

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, 10365 + ... + 23156.

It is an arithmetic number, because the mean of its divisors is an integer number (11498046).

Almost surely, 2^214400316 is an apocalyptic number.

214400316 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

214400316 is an abundant number, since it is smaller than the sum of its proper divisors (337505892).

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

214400316 is a wasteful number, since it uses less digits than its factorization.

214400316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33582 (or 33580 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 214400316 is about 14642.4149647522. The cubic root of 214400316 is about 598.5151394577.

Adding to 214400316 its reverse (613004412), we get a palindrome (827404728).

The spelling of 214400316 in words is "two hundred fourteen million, four hundred thousand, three hundred sixteen".