414464093 has 2 divisors, whose sum is σ = 414464094. Its totient is φ = 414464092.

The previous prime is 414464053. The next prime is 414464111. The reversal of 414464093 is 390464414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 414407449 + 56644 = 20357^2 + 238^2 .

It is a cyclic number.

It is not a de Polignac number, because 414464093 - 2⁸ = 414463837 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414464023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207232046 + 207232047.

It is an arithmetic number, because the mean of its divisors is an integer number (207232047).

Almost surely, 2^414464093 is an apocalyptic number.

It is an amenable number.

414464093 is a deficient number, since it is larger than the sum of its proper divisors (1).

414464093 is an equidigital number, since it uses as much as digits as its factorization.

414464093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 41472, while the sum is 35.

The square root of 414464093 is about 20358.3912183650. The cubic root of 414464093 is about 745.5823820309.

The spelling of 414464093 in words is "four hundred fourteen million, four hundred sixty-four thousand, ninety-three".