412477461 has 32 divisors (see below), whose sum is σ = 670400640. Its totient is φ = 248572800.

The previous prime is 412477453. The next prime is 412477463. The reversal of 412477461 is 164774214.

It is a happy number.

412477461 is a `hidden beast` number, since 4 + 124 + 77 + 461 = 666.

It is not a de Polignac number, because 412477461 - 2³ = 412477453 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412477463) 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 31 ways as a sum of consecutive naturals, for example, 49921 + ... + 57593.

It is an arithmetic number, because the mean of its divisors is an integer number (20950020).

Almost surely, 2^412477461 is an apocalyptic number.

It is an amenable number.

412477461 is a deficient number, since it is larger than the sum of its proper divisors (257923179).

412477461 is a wasteful number, since it uses less digits than its factorization.

412477461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7874 (or 7868 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 412477461 is about 20309.5411321871. The cubic root of 412477461 is about 744.3892181741.

The spelling of 412477461 in words is "four hundred twelve million, four hundred seventy-seven thousand, four hundred sixty-one".