395142401 has 16 divisors (see below), whose sum is σ = 411315408. Its totient is φ = 379392000.

The previous prime is 395142359. The next prime is 395142409. The reversal of 395142401 is 104241593.

It can be written as a sum of positive squares in 8 ways, for example, as 87025 + 395055376 = 295^2 + 19876^2 .

It is a cyclic number.

It is not a de Polignac number, because 395142401 - 2¹⁰ = 395141377 is a prime.

It is a super-2 number, since 2×395142401² = 312275034136089602, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (395142409) 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 15 ways as a sum of consecutive naturals, for example, 518861 + ... + 519621.

It is an arithmetic number, because the mean of its divisors is an integer number (25707213).

Almost surely, 2^395142401 is an apocalyptic number.

It is an amenable number.

395142401 is a deficient number, since it is larger than the sum of its proper divisors (16173007).

395142401 is a wasteful number, since it uses less digits than its factorization.

395142401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012.

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 395142401 is about 19878.1890774789. The cubic root of 395142401 is about 733.8115527923.

Adding to 395142401 its reverse (104241593), we get a palindrome (499383994).

The spelling of 395142401 in words is "three hundred ninety-five million, one hundred forty-two thousand, four hundred one".