407328938528 has 54 divisors (see below), whose sum is σ = 806899364901. Its totient is φ = 202409877504.

The previous prime is 407328938483. The next prime is 407328938539. The reversal of 407328938528 is 825839823704.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 253987776784 + 153341161744 = 503972^2 + 391588^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=451292.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 927856133 + ... + 927856571.

Almost surely, 2^407328938528 is an apocalyptic number.

It is an amenable number.

407328938528 is a deficient number, since it is larger than the sum of its proper divisors (399570426373).

407328938528 is an frugal number, since it uses more digits than its factorization.

407328938528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 59.

The spelling of 407328938528 in words is "four hundred seven billion, three hundred twenty-eight million, nine hundred thirty-eight thousand, five hundred twenty-eight".