415900981 has 2 divisors, whose sum is σ = 415900982. Its totient is φ = 415900980.

The previous prime is 415900963. The next prime is 415900987. The reversal of 415900981 is 189009514.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 244421956 + 171479025 = 15634^2 + 13095^2 .

It is a cyclic number.

It is not a de Polignac number, because 415900981 - 2⁵ = 415900949 is a prime.

It is a super-2 number, since 2×415900981² = 345947251993524722, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 415900981.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (415900987) 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 as a sum of consecutive naturals, namely, 207950490 + 207950491.

It is an arithmetic number, because the mean of its divisors is an integer number (207950491).

Almost surely, 2^415900981 is an apocalyptic number.

It is an amenable number.

415900981 is a deficient number, since it is larger than the sum of its proper divisors (1).

415900981 is an equidigital number, since it uses as much as digits as its factorization.

415900981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 37.

The square root of 415900981 is about 20393.6505069593. The cubic root of 415900981 is about 746.4429975734.

The spelling of 415900981 in words is "four hundred fifteen million, nine hundred thousand, nine hundred eighty-one".