414872067 has 8 divisors (see below), whose sum is σ = 560740624. Its totient is φ = 272792448.

The previous prime is 414872027. The next prime is 414872077. The reversal of 414872067 is 760278414.

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

It is not a de Polignac number, because 414872067 - 2⁸ = 414871811 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414872027) 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, 946978 + ... + 947415.

It is an arithmetic number, because the mean of its divisors is an integer number (70092578).

Almost surely, 2^414872067 is an apocalyptic number.

414872067 is a deficient number, since it is larger than the sum of its proper divisors (145868557).

414872067 is a wasteful number, since it uses less digits than its factorization.

414872067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894469.

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 414872067 is about 20368.4085534437. The cubic root of 414872067 is about 745.8269375758.

The spelling of 414872067 in words is "four hundred fourteen million, eight hundred seventy-two thousand, sixty-seven".