408996440 has 32 divisors (see below), whose sum is σ = 921397680. Its totient is φ = 163393152.

The previous prime is 408996433. The next prime is 408996457. The reversal of 408996440 is 44699804.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 408996391 and 408996400.

It is a congruent number.

It is an unprimeable number.

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, 28127 + ... + 40113.

Almost surely, 2^408996440 is an apocalyptic number.

408996440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

408996440 is an abundant number, since it is smaller than the sum of its proper divisors (512401240).

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

408996440 is a wasteful number, since it uses less digits than its factorization.

408996440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12851 (or 12847 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

The square root of 408996440 is about 20223.6604006298. The cubic root of 408996440 is about 742.2892583638.

The spelling of 408996440 in words is "four hundred eight million, nine hundred ninety-six thousand, four hundred forty".