413647457 has 12 divisors (see below), whose sum is σ = 433226556. Its totient is φ = 394804800.

The previous prime is 413647453. The next prime is 413647489. The reversal of 413647457 is 754746314.

It can be written as a sum of positive squares in 6 ways, for example, as 197233936 + 216413521 = 14044^2 + 14711^2 .

It is not a de Polignac number, because 413647457 - 2² = 413647453 is a prime.

It is a super-2 number, since 2×413647457² = 342208437365133698, which contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413647453) 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 in 11 ways as a sum of consecutive naturals, for example, 69707 + ... + 75407.

It is an arithmetic number, because the mean of its divisors is an integer number (36102213).

Almost surely, 2^413647457 is an apocalyptic number.

It is an amenable number.

413647457 is a deficient number, since it is larger than the sum of its proper divisors (19579099).

413647457 is an equidigital number, since it uses as much as digits as its factorization.

413647457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5828 (or 5791 counting only the distinct ones).

The product of its digits is 282240, while the sum is 41.

The square root of 413647457 is about 20338.3248326896. The cubic root of 413647457 is about 745.0923759754.

The spelling of 413647457 in words is "four hundred thirteen million, six hundred forty-seven thousand, four hundred fifty-seven".