414352007 has 2 divisors, whose sum is σ = 414352008. Its totient is φ = 414352006.

The previous prime is 414351991. The next prime is 414352009. The reversal of 414352007 is 700253414.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 414352007 - 2⁴ = 414351991 is a prime.

Together with 414352009, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414352009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207176003 + 207176004.

It is an arithmetic number, because the mean of its divisors is an integer number (207176004).

Almost surely, 2^414352007 is an apocalyptic number.

414352007 is a deficient number, since it is larger than the sum of its proper divisors (1).

414352007 is an equidigital number, since it uses as much as digits as its factorization.

414352007 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 414352007 is about 20355.6382115619. The cubic root of 414352007 is about 745.5151652058.

The spelling of 414352007 in words is "four hundred fourteen million, three hundred fifty-two thousand, seven".