408679440 has 80 divisors (see below), whose sum is σ = 1364371008. Its totient is φ = 100597248.

The previous prime is 408679423. The next prime is 408679459. The reversal of 408679440 is 44976804.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 408679392 and 408679401.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 62374 + ... + 68613.

Almost surely, 2^408679440 is an apocalyptic number.

408679440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

408679440 is an abundant number, since it is smaller than the sum of its proper divisors (955691568).

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

408679440 is a wasteful number, since it uses less digits than its factorization.

408679440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131016 (or 131010 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 408679440 is about 20215.8215267152. The cubic root of 408679440 is about 742.0974339446.

The spelling of 408679440 in words is "four hundred eight million, six hundred seventy-nine thousand, four hundred forty".