413720257 has 4 divisors (see below), whose sum is σ = 413771220. Its totient is φ = 413669296.

The previous prime is 413720227. The next prime is 413720311. The reversal of 413720257 is 752027314.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 387341761 + 26378496 = 19681^2 + 5136^2 .

It is a cyclic number.

It is not a de Polignac number, because 413720257 - 2¹¹ = 413718209 is a prime.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413720227) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10282 + ... + 30547.

It is an arithmetic number, because the mean of its divisors is an integer number (103442805).

Almost surely, 2^413720257 is an apocalyptic number.

It is an amenable number.

413720257 is a deficient number, since it is larger than the sum of its proper divisors (50963).

413720257 is a wasteful number, since it uses less digits than its factorization.

413720257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50962.

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 413720257 is about 20340.1144785372. The cubic root of 413720257 is about 745.1360843251.

The spelling of 413720257 in words is "four hundred thirteen million, seven hundred twenty thousand, two hundred fifty-seven".