412755993 has 40 divisors (see below), whose sum is σ = 670763016. Its totient is φ = 251424000.

The previous prime is 412755991. The next prime is 412756027. The reversal of 412755993 is 399557214.

It is a happy number.

412755993 is a `hidden beast` number, since 4 + 1 + 2 + 7 + 559 + 93 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 115089984 + 297666009 = 10728^2 + 17253^2 .

It is not a de Polignac number, because 412755993 - 2¹ = 412755991 is a prime.

It is not an unprimeable number, because it can be changed into a prime (412755991) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 104413 + ... + 108293.

Almost surely, 2^412755993 is an apocalyptic number.

It is an amenable number.

412755993 is a deficient number, since it is larger than the sum of its proper divisors (258007023).

412755993 is a wasteful number, since it uses less digits than its factorization.

412755993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4007 (or 3998 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The square root of 412755993 is about 20316.3971461477. The cubic root of 412755993 is about 744.5567340473.

The spelling of 412755993 in words is "four hundred twelve million, seven hundred fifty-five thousand, nine hundred ninety-three".