408249505 has 8 divisors (see below), whose sum is σ = 501848424. Its totient is φ = 318633600.

The previous prime is 408249493. The next prime is 408249529. The reversal of 408249505 is 505942804.

It can be written as a sum of positive squares in 4 ways, for example, as 2509056 + 405740449 = 1584^2 + 20143^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 408249505 - 2¹¹ = 408247457 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 995526 + ... + 995935.

It is an arithmetic number, because the mean of its divisors is an integer number (62731053).

Almost surely, 2^408249505 is an apocalyptic number.

It is an amenable number.

408249505 is a deficient number, since it is larger than the sum of its proper divisors (93598919).

408249505 is a wasteful number, since it uses less digits than its factorization.

408249505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1991507.

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 408249505 is about 20205.1851018495. The cubic root of 408249505 is about 741.8371112425.

The spelling of 408249505 in words is "four hundred eight million, two hundred forty-nine thousand, five hundred five".