408220541 has 8 divisors (see below), whose sum is σ = 432438264. Its totient is φ = 384025600.

The previous prime is 408220499. The next prime is 408220619. The reversal of 408220541 is 145022804.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 78943225 + 329277316 = 8885^2 + 18146^2 .

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 408220541 - 2¹⁴ = 408204157 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 408220541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408225541) 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 7 ways as a sum of consecutive naturals, for example, 43331 + ... + 51903.

It is an arithmetic number, because the mean of its divisors is an integer number (54054783).

Almost surely, 2^408220541 is an apocalyptic number.

It is an amenable number.

408220541 is a deficient number, since it is larger than the sum of its proper divisors (24217723).

408220541 is a wasteful number, since it uses less digits than its factorization.

408220541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11391.

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 408220541 is about 20204.4683424237. The cubic root of 408220541 is about 741.8195671688.

The spelling of 408220541 in words is "four hundred eight million, two hundred twenty thousand, five hundred forty-one".