408029101 has 8 divisors (see below), whose sum is σ = 425837880. Its totient is φ = 390469632.

The previous prime is 408029077. The next prime is 408029113. The reversal of 408029101 is 101920804.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 36542025 + 371487076 = 6045^2 + 19274^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 408029101 - 2⁹ = 408028589 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408020101) 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 7 ways as a sum of consecutive naturals, for example, 58980 + ... + 65533.

It is an arithmetic number, because the mean of its divisors is an integer number (53229735).

Almost surely, 2^408029101 is an apocalyptic number.

It is an amenable number.

408029101 is a deficient number, since it is larger than the sum of its proper divisors (17808779).

408029101 is a wasteful number, since it uses less digits than its factorization.

408029101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124655.

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 408029101 is about 20199.7302209708. The cubic root of 408029101 is about 741.7035872599.

Adding to 408029101 its reverse (101920804), we get a palindrome (509949905).

The spelling of 408029101 in words is "four hundred eight million, twenty-nine thousand, one hundred one".