413073647 has 32 divisors (see below), whose sum is σ = 500097024. Its totient is φ = 333849600.

The previous prime is 413073641. The next prime is 413073671. The reversal of 413073647 is 746370314.

It is not a de Polignac number, because 413073647 - 2¹⁴ = 413057263 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413073641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1524122 + ... + 1524392.

It is an arithmetic number, because the mean of its divisors is an integer number (15628032).

Almost surely, 2^413073647 is an apocalyptic number.

413073647 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

413073647 is a deficient number, since it is larger than the sum of its proper divisors (87023377).

413073647 is a wasteful number, since it uses less digits than its factorization.

413073647 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479.

The product of its (nonzero) digits is 42336, while the sum is 35.

The square root of 413073647 is about 20324.2133181090. The cubic root of 413073647 is about 744.7476868800.

It can be divided in two parts, 4130 and 73647, that added together give a palindrome (77777).

The spelling of 413073647 in words is "four hundred thirteen million, seventy-three thousand, six hundred forty-seven".