416029973 has 2 divisors, whose sum is σ = 416029974. Its totient is φ = 416029972.

The previous prime is 416029963. The next prime is 416029979. The reversal of 416029973 is 379920614.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210337009 + 205692964 = 14503^2 + 14342^2 .

It is a cyclic number.

It is not a de Polignac number, because 416029973 - 2¹² = 416025877 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 416029973.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (416029979) 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, 208014986 + 208014987.

It is an arithmetic number, because the mean of its divisors is an integer number (208014987).

Almost surely, 2^416029973 is an apocalyptic number.

It is an amenable number.

416029973 is a deficient number, since it is larger than the sum of its proper divisors (1).

416029973 is an equidigital number, since it uses as much as digits as its factorization.

416029973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81648, while the sum is 41.

The square root of 416029973 is about 20396.8128147512. The cubic root of 416029973 is about 746.5201595478.

The spelling of 416029973 in words is "four hundred sixteen million, twenty-nine thousand, nine hundred seventy-three".