414304245 has 12 divisors (see below), whose sum is σ = 718127436. Its totient is φ = 220962240.

The previous prime is 414304193. The next prime is 414304249. The reversal of 414304245 is 542403414.

It is a happy number.

414304245 is a `hidden beast` number, since 414 + 3 + 0 + 4 + 245 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 43125489 + 371178756 = 6567^2 + 19266^2 .

It is not a de Polignac number, because 414304245 - 2⁷ = 414304117 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414304249) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4603336 + ... + 4603425.

It is an arithmetic number, because the mean of its divisors is an integer number (59843953).

Almost surely, 2^414304245 is an apocalyptic number.

414304245 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

414304245 is a deficient number, since it is larger than the sum of its proper divisors (303823191).

414304245 is a wasteful number, since it uses less digits than its factorization.

414304245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9206772 (or 9206769 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 414304245 is about 20354.4649892843. The cubic root of 414304245 is about 745.4865191408.

Adding to 414304245 its reverse (542403414), we get a palindrome (956707659).

The spelling of 414304245 in words is "four hundred fourteen million, three hundred four thousand, two hundred forty-five".