414441007 has 2 divisors, whose sum is σ = 414441008. Its totient is φ = 414441006.

The previous prime is 414440981. The next prime is 414441017. The reversal of 414441007 is 700144414.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 414441007 - 2⁷ = 414440879 is a prime.

It is a super-2 number, since 2×414441007² = 343522696566348098, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414441017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207220503 + 207220504.

It is an arithmetic number, because the mean of its divisors is an integer number (207220504).

Almost surely, 2^414441007 is an apocalyptic number.

414441007 is a deficient number, since it is larger than the sum of its proper divisors (1).

414441007 is an equidigital number, since it uses as much as digits as its factorization.

414441007 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 414441007 is about 20357.8242206774. The cubic root of 414441007 is about 745.5685385844.

The spelling of 414441007 in words is "four hundred fourteen million, four hundred forty-one thousand, seven".