1408379920 has 20 divisors (see below), whose sum is σ = 3274483500. Its totient is φ = 563351936.

The previous prime is 1408379893. The next prime is 1408380013. The reversal of 1408379920 is 299738041.

It can be written as a sum of positive squares in 2 ways, for example, as 1104365824 + 304014096 = 33232^2 + 17436^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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 3 ways as a sum of consecutive naturals, for example, 8802295 + ... + 8802454.

It is an arithmetic number, because the mean of its divisors is an integer number (163724175).

Almost surely, 2^1408379920 is an apocalyptic number.

1408379920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1408379920 is an abundant number, since it is smaller than the sum of its proper divisors (1866103580).

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

1408379920 is a wasteful number, since it uses less digits than its factorization.

1408379920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17604762 (or 17604756 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The square root of 1408379920 is about 37528.3881881437. The cubic root of 1408379920 is about 1120.9165329296.

The spelling of 1408379920 in words is "one billion, four hundred eight million, three hundred seventy-nine thousand, nine hundred twenty".