408538201 has 16 divisors (see below), whose sum is σ = 427932288. Its totient is φ = 389664000.

The previous prime is 408538199. The next prime is 408538217. The reversal of 408538201 is 102835804.

It is a cyclic number.

It is not a de Polignac number, because 408538201 - 2¹ = 408538199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (408535201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 463281 + ... + 464161.

It is an arithmetic number, because the mean of its divisors is an integer number (26745768).

Almost surely, 2^408538201 is an apocalyptic number.

It is an amenable number.

408538201 is a deficient number, since it is larger than the sum of its proper divisors (19394087).

408538201 is a wasteful number, since it uses less digits than its factorization.

408538201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152.

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 408538201 is about 20212.3279460828. The cubic root of 408538201 is about 742.0119348419.

The spelling of 408538201 in words is "four hundred eight million, five hundred thirty-eight thousand, two hundred one".