408439862649 has 81 divisors (see below), whose sum is σ = 743460126669. Its totient is φ = 215348777280.

The previous prime is 408439862599. The next prime is 408439862653. The reversal of 408439862649 is 946268934804.

The square root of 408439862649 is 639093.

It is a perfect power (a square), and thus also a powerful number.

408439862649 is a `hidden beast` number, since 408 + 43 + 98 + 62 + 6 + 49 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22262132025 + 386177730624 = 149205^2 + 621432^2 .

It is not a de Polignac number, because 408439862649 - 2⁷ = 408439862521 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (408439862669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 174471219 + ... + 174473559.

Almost surely, 2^408439862649 is an apocalyptic number.

408439862649 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

408439862649 is the 639093-rd square number.

408439862649 is the 319547-th centered octagonal number.

It is an amenable number.

408439862649 is a deficient number, since it is larger than the sum of its proper divisors (335020264020).

408439862649 is an equidigital number, since it uses as much as digits as its factorization.

408439862649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4728 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 408439862649 in words is "four hundred eight billion, four hundred thirty-nine million, eight hundred sixty-two thousand, six hundred forty-nine".