414505201 has 8 divisors (see below), whose sum is σ = 452361600. Its totient is φ = 376677840.

The previous prime is 414505193. The next prime is 414505211. The reversal of 414505201 is 102505414.

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

It is not a de Polignac number, because 414505201 - 2³ = 414505193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414505211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31720 + ... + 42838.

It is an arithmetic number, because the mean of its divisors is an integer number (56545200).

Almost surely, 2^414505201 is an apocalyptic number.

It is an amenable number.

414505201 is a deficient number, since it is larger than the sum of its proper divisors (37856399).

414505201 is a wasteful number, since it uses less digits than its factorization.

414505201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14519.

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 414505201 is about 20359.4008015953. The cubic root of 414505201 is about 745.6070310398.

The spelling of 414505201 in words is "four hundred fourteen million, five hundred five thousand, two hundred one".