414004345 has 8 divisors (see below), whose sum is σ = 501363720. Its totient is φ = 328164480.

The previous prime is 414004309. The next prime is 414004361. The reversal of 414004345 is 543400414.

It can be written as a sum of positive squares in 4 ways, for example, as 61653904 + 352350441 = 7852^2 + 18771^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 414004345 - 2¹³ = 413996153 is a prime.

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, 379276 + ... + 380365.

It is an arithmetic number, because the mean of its divisors is an integer number (62670465).

Almost surely, 2^414004345 is an apocalyptic number.

It is an amenable number.

414004345 is a deficient number, since it is larger than the sum of its proper divisors (87359375).

414004345 is a wasteful number, since it uses less digits than its factorization.

414004345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759755.

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 414004345 is about 20347.0967216456. The cubic root of 414004345 is about 745.3065987268.

Adding to 414004345 its reverse (543400414), we get a palindrome (957404759).

The spelling of 414004345 in words is "four hundred fourteen million, four thousand, three hundred forty-five".