408046561 has 8 divisors (see below), whose sum is σ = 439615400. Its totient is φ = 376503552.

The previous prime is 408046553. The next prime is 408046571. The reversal of 408046561 is 165640804.

It can be written as a sum of positive squares in 4 ways, for example, as 42510400 + 365536161 = 6520^2 + 19119^2 .

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 408046561 - 2³ = 408046553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (408046531) 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, 37465 + ... + 47113.

It is an arithmetic number, because the mean of its divisors is an integer number (54951925).

Almost surely, 2^408046561 is an apocalyptic number.

It is an amenable number.

408046561 is a deficient number, since it is larger than the sum of its proper divisors (31568839).

408046561 is a wasteful number, since it uses less digits than its factorization.

408046561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12915.

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 408046561 is about 20200.1624003373. The cubic root of 408046561 is about 741.7141665380.

It can be divided in two parts, 40804 and 6561, that multiplied together give a square (267715044 = 16362²).

The spelling of 408046561 in words is "four hundred eight million, forty-six thousand, five hundred sixty-one".