413728587 has 32 divisors (see below), whose sum is σ = 636480000. Its totient is φ = 265295520.

The previous prime is 413728559. The next prime is 413728597. The reversal of 413728587 is 785827314.

413728587 is a `hidden beast` number, since 41 + 3 + 7 + 28 + 587 = 666.

It is not a de Polignac number, because 413728587 - 2⁷ = 413728459 is a prime.

It is not an unprimeable number, because it can be changed into a prime (413728517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242664 + ... + 244362.

It is an arithmetic number, because the mean of its divisors is an integer number (19890000).

Almost surely, 2^413728587 is an apocalyptic number.

413728587 is a deficient number, since it is larger than the sum of its proper divisors (222751413).

413728587 is a wasteful number, since it uses less digits than its factorization.

413728587 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 2042 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 413728587 is about 20340.3192452823. The cubic root of 413728587 is about 745.1410852421.

It can be divided in two parts, 413 and 728587, that added together give a cube (729000 = 90³).

The spelling of 413728587 in words is "four hundred thirteen million, seven hundred twenty-eight thousand, five hundred eighty-seven".