412414101 has 36 divisors (see below), whose sum is σ = 693335916. Its totient is φ = 235234560.

The previous prime is 412414097. The next prime is 412414103. The reversal of 412414101 is 101414214.

It can be written as a sum of positive squares in 2 ways, for example, as 333026001 + 79388100 = 18249^2 + 8910^2 .

It is not a de Polignac number, because 412414101 - 2² = 412414097 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412414103) 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 35 ways as a sum of consecutive naturals, for example, 7375 + ... + 29651.

It is an arithmetic number, because the mean of its divisors is an integer number (19259331).

Almost surely, 2^412414101 is an apocalyptic number.

It is an amenable number.

412414101 is a deficient number, since it is larger than the sum of its proper divisors (280921815).

412414101 is a wasteful number, since it uses less digits than its factorization.

412414101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22322 (or 22308 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 412414101 is about 20307.9812142911. The cubic root of 412414101 is about 744.3511014118.

Adding to 412414101 its reverse (101414214), we get a palindrome (513828315).

It can be divided in two parts, 4124 and 14101, that added together give a square (18225 = 135²).

The spelling of 412414101 in words is "four hundred twelve million, four hundred fourteen thousand, one hundred one".