414095201 has 16 divisors (see below), whose sum is σ = 460642896. Its totient is φ = 369847296.

The previous prime is 414095137. The next prime is 414095219. The reversal of 414095201 is 102590414.

It can be written as a sum of positive squares in 8 ways, for example, as 18284176 + 395811025 = 4276^2 + 19895^2 .

It is not a de Polignac number, because 414095201 - 2⁶ = 414095137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414095221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46181 + ... + 54413.

It is an arithmetic number, because the mean of its divisors is an integer number (28790181).

Almost surely, 2^414095201 is an apocalyptic number.

It is an amenable number.

414095201 is a deficient number, since it is larger than the sum of its proper divisors (46547695).

414095201 is a wasteful number, since it uses less digits than its factorization.

414095201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8372.

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 414095201 is about 20349.3292518451. The cubic root of 414095201 is about 745.3611155647.

The spelling of 414095201 in words is "four hundred fourteen million, ninety-five thousand, two hundred one".