408026241 has 40 divisors (see below), whose sum is σ = 708459840. Its totient is φ = 229187232.

The previous prime is 408026239. The next prime is 408026243. The reversal of 408026241 is 142620804.

408026241 = 160³ + 161³ + ... + 218³.

It is an interprime number because it is at equal distance from previous prime (408026239) and next prime (408026243).

It is not a de Polignac number, because 408026241 - 2¹ = 408026239 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (408026243) 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 39 ways as a sum of consecutive naturals, for example, 27355 + ... + 39551.

It is an arithmetic number, because the mean of its divisors is an integer number (17711496).

Almost surely, 2^408026241 is an apocalyptic number.

It is an amenable number.

408026241 is a deficient number, since it is larger than the sum of its proper divisors (300433599).

408026241 is a wasteful number, since it uses less digits than its factorization.

408026241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12275 (or 12266 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 408026241 is about 20199.6594278220. The cubic root of 408026241 is about 741.7018543139.

The spelling of 408026241 in words is "four hundred eight million, twenty-six thousand, two hundred forty-one".