414480307 has 8 divisors (see below), whose sum is σ = 437402000. Its totient is φ = 391669344.

The previous prime is 414480293. The next prime is 414480329. The reversal of 414480307 is 703084414.

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

It is a de Polignac number, because none of the positive numbers 2^k-414480307 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414480707) 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 7 ways as a sum of consecutive naturals, for example, 19932 + ... + 35017.

It is an arithmetic number, because the mean of its divisors is an integer number (54675250).

Almost surely, 2^414480307 is an apocalyptic number.

414480307 is a deficient number, since it is larger than the sum of its proper divisors (22921693).

414480307 is a wasteful number, since it uses less digits than its factorization.

414480307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55365.

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 414480307 is about 20358.7894286473. The cubic root of 414480307 is about 745.5921043972.

The spelling of 414480307 in words is "four hundred fourteen million, four hundred eighty thousand, three hundred seven".