417344941 has 16 divisors (see below), whose sum is σ = 466830000. Its totient is φ = 370579968.

The previous prime is 417344929. The next prime is 417344947. The reversal of 417344941 is 149443714.

417344941 = 14445² + 14446².

It can be written as a sum of positive squares in 8 ways, for example, as 44275716 + 373069225 = 6654^2 + 19315^2 .

It is a cyclic number.

It is not a de Polignac number, because 417344941 - 2⁷ = 417344813 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 417344941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417344947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37935 + ... + 47683.

It is an arithmetic number, because the mean of its divisors is an integer number (29176875).

Almost surely, 2^417344941 is an apocalyptic number.

417344941 is the 14446-th centered square number.

It is an amenable number.

417344941 is a deficient number, since it is larger than the sum of its proper divisors (49485059).

417344941 is a wasteful number, since it uses less digits than its factorization.

417344941 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9888.

The product of its digits is 48384, while the sum is 37.

The square root of 417344941 is about 20429.0220274980. The cubic root of 417344941 is about 747.3058542860.

The spelling of 417344941 in words is "four hundred seventeen million, three hundred forty-four thousand, nine hundred forty-one".