412414973 has 2 divisors, whose sum is σ = 412414974. Its totient is φ = 412414972.

The previous prime is 412414957. The next prime is 412414999. The reversal of 412414973 is 379414214.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 408929284 + 3485689 = 20222^2 + 1867^2 .

It is a cyclic number.

It is not a de Polignac number, because 412414973 - 2⁴ = 412414957 is a prime.

It is a super-3 number, since 3×412414973³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (412414943) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206207486 + 206207487.

It is an arithmetic number, because the mean of its divisors is an integer number (206207487).

Almost surely, 2^412414973 is an apocalyptic number.

It is an amenable number.

412414973 is a deficient number, since it is larger than the sum of its proper divisors (1).

412414973 is an equidigital number, since it uses as much as digits as its factorization.

412414973 is an evil number, because the sum of its binary digits is even.

The product of its digits is 24192, while the sum is 35.

The square root of 412414973 is about 20308.0026836713. The cubic root of 412414973 is about 744.3516260250.

The spelling of 412414973 in words is "four hundred twelve million, four hundred fourteen thousand, nine hundred seventy-three".