408129640 has 16 divisors (see below), whose sum is σ = 918291780. Its totient is φ = 163251840.

The previous prime is 408129611. The next prime is 408129643. The reversal of 408129640 is 46921804.

It can be written as a sum of positive squares in 2 ways, for example, as 408120804 + 8836 = 20202^2 + 94^2 .

It is a junction number, because it is equal to n+sod(n) for n = 408129596 and 408129605.

It is not an unprimeable number, because it can be changed into a prime (408129643) 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 3 ways as a sum of consecutive naturals, for example, 5101581 + ... + 5101660.

Almost surely, 2^408129640 is an apocalyptic number.

408129640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

408129640 is an abundant number, since it is smaller than the sum of its proper divisors (510162140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

408129640 is a wasteful number, since it uses less digits than its factorization.

408129640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10203252 (or 10203248 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 408129640 is about 20202.2186900350. The cubic root of 408129640 is about 741.7645012265.

The spelling of 408129640 in words is "four hundred eight million, one hundred twenty-nine thousand, six hundred forty".