414147 has 8 divisors (see below), whose sum is σ = 557056. Its totient is φ = 273672.

The previous prime is 414131. The next prime is 414157. The reversal of 414147 is 741414.

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

It is not a de Polignac number, because 414147 - 2⁴ = 414131 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (414107) 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, 163 + ... + 924.

It is an arithmetic number, because the mean of its divisors is an integer number (69632).

2⁴¹⁴¹⁴⁷ is an apocalyptic number.

414147 is a deficient number, since it is larger than the sum of its proper divisors (142909).

414147 is a wasteful number, since it uses less digits than its factorization.

414147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217.

The product of its digits is 448, while the sum is 21.

The square root of 414147 is about 643.5425393865. The cubic root of 414147 is about 74.5392193242.

It can be divided in two parts, 414 and 147, that added together give a triangular number (561 = T₃₃).

The spelling of 414147 in words is "four hundred fourteen thousand, one hundred forty-seven", and thus it is an iban number.