404412561 has 32 divisors (see below), whose sum is σ = 701433600. Its totient is φ = 225452160.

The previous prime is 404412557. The next prime is 404412583. The reversal of 404412561 is 165214404.

404412561 is a `hidden beast` number, since 404 + 4 + 1 + 256 + 1 = 666.

It is not a de Polignac number, because 404412561 - 2² = 404412557 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (404412161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18346 + ... + 33843.

It is an arithmetic number, because the mean of its divisors is an integer number (21919800).

Almost surely, 2^404412561 is an apocalyptic number.

404412561 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

404412561 is a deficient number, since it is larger than the sum of its proper divisors (297021039).

404412561 is a wasteful number, since it uses less digits than its factorization.

404412561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52246 (or 52240 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 404412561 is about 20110.0114619560. The cubic root of 404412561 is about 739.5057333673.

Adding to 404412561 its reverse (165214404), we get a palindrome (569626965).

The spelling of 404412561 in words is "four hundred four million, four hundred twelve thousand, five hundred sixty-one".