408691361 has 8 divisors (see below), whose sum is σ = 444667944. Its totient is φ = 373363200.

The previous prime is 408691351. The next prime is 408691369. The reversal of 408691361 is 163196804.

It can be written as a sum of positive squares in 4 ways, for example, as 3876961 + 404814400 = 1969^2 + 20120^2 .

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 408691361 - 2¹⁴ = 408674977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (408691369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160790 + ... + 163311.

It is an arithmetic number, because the mean of its divisors is an integer number (55583493).

Almost surely, 2^408691361 is an apocalyptic number.

It is an amenable number.

408691361 is a deficient number, since it is larger than the sum of its proper divisors (35976583).

408691361 is a wasteful number, since it uses less digits than its factorization.

408691361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324211.

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 408691361 is about 20216.1163678883. The cubic root of 408691361 is about 742.1046494267.

The spelling of 408691361 in words is "four hundred eight million, six hundred ninety-one thousand, three hundred sixty-one".