408238845 has 192 divisors, whose sum is σ = 882524160. Its totient is φ = 159667200.

The previous prime is 408238819. The next prime is 408238847. The reversal of 408238845 is 548832804.

It is a happy number.

It is not a de Polignac number, because 408238845 - 2⁵ = 408238813 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 408238797 and 408238806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408238847) 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 191 ways as a sum of consecutive naturals, for example, 9957025 + ... + 9957065.

It is an arithmetic number, because the mean of its divisors is an integer number (4596480).

Almost surely, 2^408238845 is an apocalyptic number.

It is an amenable number.

408238845 is an abundant number, since it is smaller than the sum of its proper divisors (474285315).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

408238845 is a wasteful number, since it uses less digits than its factorization.

408238845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The square root of 408238845 is about 20204.9213064540. The cubic root of 408238845 is about 741.8306543640.

The spelling of 408238845 in words is "four hundred eight million, two hundred thirty-eight thousand, eight hundred forty-five".