214404264 has 48 divisors (see below), whose sum is σ = 590209620. Its totient is φ = 70295040.

The previous prime is 214404259. The next prime is 214404269. The reversal of 214404264 is 462404412.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (214404259) and next prime (214404269).

It can be written as a sum of positive squares in 2 ways, for example, as 187964100 + 26440164 = 13710^2 + 5142^2 .

It is not an unprimeable number, because it can be changed into a prime (214404269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20017 + ... + 28800.

Almost surely, 2^214404264 is an apocalyptic number.

214404264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214404264 is an abundant number, since it is smaller than the sum of its proper divisors (375805356).

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

214404264 is a wasteful number, since it uses less digits than its factorization.

214404264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48890 (or 48883 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 214404264 is about 14642.5497779588. The cubic root of 214404264 is about 598.5188131514.

Adding to 214404264 its reverse (462404412), we get a palindrome (676808676).

The spelling of 214404264 in words is "two hundred fourteen million, four hundred four thousand, two hundred sixty-four".