408872541 has 64 divisors (see below), whose sum is σ = 726921216. Its totient is φ = 198105600.

The previous prime is 408872521. The next prime is 408872551. The reversal of 408872541 is 145278804.

It is a happy number.

It is not a de Polignac number, because 408872541 - 2¹⁰ = 408871517 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 408872541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408872521) 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 63 ways as a sum of consecutive naturals, for example, 216895 + ... + 218771.

It is an arithmetic number, because the mean of its divisors is an integer number (11358144).

Almost surely, 2^408872541 is an apocalyptic number.

408872541 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

408872541 is a deficient number, since it is larger than the sum of its proper divisors (318048675).

408872541 is a wasteful number, since it uses less digits than its factorization.

408872541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962.

The product of its (nonzero) digits is 71680, while the sum is 39.

The square root of 408872541 is about 20220.5969496452. The cubic root of 408872541 is about 742.2142958652.

The spelling of 408872541 in words is "four hundred eight million, eight hundred seventy-two thousand, five hundred forty-one".