350400413 has 16 divisors (see below), whose sum is σ = 426047040. Its totient is φ = 284025600.

The previous prime is 350400389. The next prime is 350400433. The reversal of 350400413 is 314004053.

It is a cyclic number.

It is not a de Polignac number, because 350400413 - 2²⁸ = 81964957 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350400433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45758 + ... + 52863.

It is an arithmetic number, because the mean of its divisors is an integer number (26627940).

Almost surely, 2^350400413 is an apocalyptic number.

It is an amenable number.

350400413 is a deficient number, since it is larger than the sum of its proper divisors (75646627).

350400413 is a wasteful number, since it uses less digits than its factorization.

350400413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98668.

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 350400413 is about 18718.9853624602. The cubic root of 350400413 is about 704.9985165034.

Adding to 350400413 its reverse (314004053), we get a palindrome (664404466).

The spelling of 350400413 in words is "three hundred fifty million, four hundred thousand, four hundred thirteen".