414217407 has 8 divisors (see below), whose sum is σ = 553202176. Its totient is φ = 275688792.

The previous prime is 414217399. The next prime is 414217417. The reversal of 414217407 is 704712414.

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

It is not a de Polignac number, because 414217407 - 2³ = 414217399 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414217417) 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, 111913 + ... + 115554.

It is an arithmetic number, because the mean of its divisors is an integer number (69150272).

Almost surely, 2^414217407 is an apocalyptic number.

414217407 is a deficient number, since it is larger than the sum of its proper divisors (138984769).

414217407 is a wasteful number, since it uses less digits than its factorization.

414217407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228077.

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 414217407 is about 20352.3317337351. The cubic root of 414217407 is about 745.4344309451.

It can be divided in two parts, 41421 and 7407, that added together give a triangular number (48828 = T₃₁₂).

The spelling of 414217407 in words is "four hundred fourteen million, two hundred seventeen thousand, four hundred seven".