404757985 has 16 divisors (see below), whose sum is σ = 500346000. Its totient is φ = 314102016.

The previous prime is 404757971. The next prime is 404758019. The reversal of 404757985 is 589757404.

It can be written as a sum of positive squares in 8 ways, for example, as 13667809 + 391090176 = 3697^2 + 19776^2 .

It is a cyclic number.

It is not a de Polignac number, because 404757985 - 2¹⁷ = 404626913 is a prime.

It is a super-3 number, since 3×404757985³ (a number of 27 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 61431 + ... + 67699.

It is an arithmetic number, because the mean of its divisors is an integer number (31271625).

Almost surely, 2^404757985 is an apocalyptic number.

It is an amenable number.

404757985 is a deficient number, since it is larger than the sum of its proper divisors (95588015).

404757985 is a wasteful number, since it uses less digits than its factorization.

404757985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6660.

The product of its (nonzero) digits is 1411200, while the sum is 49.

The square root of 404757985 is about 20118.5979879315. The cubic root of 404757985 is about 739.7162200170.

The spelling of 404757985 in words is "four hundred four million, seven hundred fifty-seven thousand, nine hundred eighty-five".