416973313 has 8 divisors (see below), whose sum is σ = 436324968. Its totient is φ = 398047104.

The previous prime is 416973251. The next prime is 416973341. The reversal of 416973313 is 313379614.

It can be written as a sum of positive squares in 4 ways, for example, as 233722944 + 183250369 = 15288^2 + 13537^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-416973313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (416973353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104356 + ... + 108277.

It is an arithmetic number, because the mean of its divisors is an integer number (54540621).

Almost surely, 2^416973313 is an apocalyptic number.

It is an amenable number.

416973313 is a deficient number, since it is larger than the sum of its proper divisors (19351655).

416973313 is a wasteful number, since it uses less digits than its factorization.

416973313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212723.

The product of its digits is 40824, while the sum is 37.

The square root of 416973313 is about 20419.9244122009. The cubic root of 416973313 is about 747.0839736736.

The spelling of 416973313 in words is "four hundred sixteen million, nine hundred seventy-three thousand, three hundred thirteen".