415284561 has 12 divisors (see below), whose sum is σ = 601993860. Its totient is φ = 275869440.

The previous prime is 415284557. The next prime is 415284581. The reversal of 415284561 is 165482514.

It is a happy number.

415284561 is a `hidden beast` number, since 4 + 15 + 2 + 84 + 561 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 160275600 + 255008961 = 12660^2 + 15969^2 .

It is not a de Polignac number, because 415284561 - 2² = 415284557 is a prime.

It is a super-2 number, since 2×415284561² = 344922533209925442, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (415284511) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 79576 + ... + 84633.

It is an arithmetic number, because the mean of its divisors is an integer number (50166155).

Almost surely, 2^415284561 is an apocalyptic number.

It is an amenable number.

415284561 is a deficient number, since it is larger than the sum of its proper divisors (186709299).

415284561 is a wasteful number, since it uses less digits than its factorization.

415284561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164496 (or 164493 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 415284561 is about 20378.5318656669. The cubic root of 415284561 is about 746.0740396390.

The spelling of 415284561 in words is "four hundred fifteen million, two hundred eighty-four thousand, five hundred sixty-one".