342400401 has 24 divisors (see below), whose sum is σ = 569372544. Its totient is φ = 194224320.

The previous prime is 342400393. The next prime is 342400427. The reversal of 342400401 is 104004243.

It is not a de Polignac number, because 342400401 - 2³ = 342400393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (342400901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11205 + ... + 28466.

It is an arithmetic number, because the mean of its divisors is an integer number (23723856).

Almost surely, 2^342400401 is an apocalyptic number.

It is an amenable number.

342400401 is a deficient number, since it is larger than the sum of its proper divisors (226972143).

342400401 is a wasteful number, since it uses less digits than its factorization.

342400401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39821 (or 39818 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 342400401 is about 18504.0644454131. The cubic root of 342400401 is about 699.5918716147.

Adding to 342400401 its reverse (104004243), we get a palindrome (446404644).

The spelling of 342400401 in words is "three hundred forty-two million, four hundred thousand, four hundred one".