413378097 has 32 divisors (see below), whose sum is σ = 625121280. Its totient is φ = 240765120.

The previous prime is 413378083. The next prime is 413378101. The reversal of 413378097 is 790873314.

It is not a de Polignac number, because 413378097 - 2⁴ = 413378081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (413378897) 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 31 ways as a sum of consecutive naturals, for example, 99304 + ... + 103382.

It is an arithmetic number, because the mean of its divisors is an integer number (19535040).

Almost surely, 2^413378097 is an apocalyptic number.

It is an amenable number.

413378097 is a deficient number, since it is larger than the sum of its proper divisors (211743183).

413378097 is a wasteful number, since it uses less digits than its factorization.

413378097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4213.

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 413378097 is about 20331.7017733391. The cubic root of 413378097 is about 744.9306104764.

The spelling of 413378097 in words is "four hundred thirteen million, three hundred seventy-eight thousand, ninety-seven".