284409956601 has 81 divisors (see below), whose sum is σ = 440214913957. Its totient is φ = 176927939760.

The previous prime is 284409956561. The next prime is 284409956617. The reversal of 284409956601 is 106659904482.

The square root of 284409956601 is 533301.

It is a perfect power (a square), and thus also a powerful number.

284409956601 is a `hidden beast` number, since 2 + 8 + 440 + 99 + 56 + 60 + 1 = 666.

It is not a de Polignac number, because 284409956601 - 2²³ = 284401567993 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (284409956681) 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 80 ways as a sum of consecutive naturals, for example, 2171068306 + ... + 2171068436.

Almost surely, 2^284409956601 is an apocalyptic number.

284409956601 is the 533301-st square number.

284409956601 is the 266651-st centered octagonal number.

It is an amenable number.

284409956601 is a deficient number, since it is larger than the sum of its proper divisors (155804957356).

284409956601 is an equidigital number, since it uses as much as digits as its factorization.

284409956601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 284409956601 in words is "two hundred eighty-four billion, four hundred nine million, nine hundred fifty-six thousand, six hundred one".