414997507 has 8 divisors (see below), whose sum is σ = 420638400. Its totient is φ = 409366464.

The previous prime is 414997493. The next prime is 414997529. The reversal of 414997507 is 705799414.

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

It is a cyclic number.

It is not a de Polignac number, because 414997507 - 2¹⁹ = 414473219 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414997547) 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 7 ways as a sum of consecutive naturals, for example, 127719 + ... + 130927.

It is an arithmetic number, because the mean of its divisors is an integer number (52579800).

Almost surely, 2^414997507 is an apocalyptic number.

414997507 is a deficient number, since it is larger than the sum of its proper divisors (5640893).

414997507 is a wasteful number, since it uses less digits than its factorization.

414997507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4925.

The product of its (nonzero) digits is 317520, while the sum is 46.

The square root of 414997507 is about 20371.4875990930. The cubic root of 414997507 is about 745.9020989816.

The spelling of 414997507 in words is "four hundred fourteen million, nine hundred ninety-seven thousand, five hundred seven".