390413 has 2 divisors, whose sum is σ = 390414. Its totient is φ = 390412.

The previous prime is 390407. The next prime is 390419. The reversal of 390413 is 314093.

It is a balanced prime because it is at equal distance from previous prime (390407) and next prime (390419).

It can be written as a sum of positive squares in only one way, i.e., 299209 + 91204 = 547^2 + 302^2 .

It is a cyclic number.

It is not a de Polignac number, because 390413 - 2⁸ = 390157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (390419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 195206 + 195207.

It is an arithmetic number, because the mean of its divisors is an integer number (195207).

2³⁹⁰⁴¹³ is an apocalyptic number.

It is an amenable number.

390413 is a deficient number, since it is larger than the sum of its proper divisors (1).

390413 is an equidigital number, since it uses as much as digits as its factorization.

390413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 390413 is about 624.8303769824. The cubic root of 390413 is about 73.0872167047.

The spelling of 390413 in words is "three hundred ninety thousand, four hundred thirteen".