412312401 has 24 divisors (see below), whose sum is σ = 622238760. Its totient is φ = 262752000.

The previous prime is 412312393. The next prime is 412312427. The reversal of 412312401 is 104213214.

It can be written as a sum of positive squares in 4 ways, for example, as 313290000 + 99022401 = 17700^2 + 9951^2 .

It is not a de Polignac number, because 412312401 - 2³ = 412312393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (412312451) 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 23 ways as a sum of consecutive naturals, for example, 18541 + ... + 34181.

It is an arithmetic number, because the mean of its divisors is an integer number (25926615).

Almost surely, 2^412312401 is an apocalyptic number.

It is an amenable number.

412312401 is a deficient number, since it is larger than the sum of its proper divisors (209926359).

412312401 is a wasteful number, since it uses less digits than its factorization.

412312401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15777 (or 15774 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 412312401 is about 20305.4771182556. The cubic root of 412312401 is about 744.2899115137.

Adding to 412312401 its reverse (104213214), we get a palindrome (516525615).

The spelling of 412312401 in words is "four hundred twelve million, three hundred twelve thousand, four hundred one".