413967393 has 24 divisors (see below), whose sum is σ = 687211200. Its totient is φ = 235224864.

The previous prime is 413967377. The next prime is 413967419. The reversal of 413967393 is 393769314.

It is a happy number.

It is not a de Polignac number, because 413967393 - 2⁴ = 413967377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (413967343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7078 + ... + 29631.

It is an arithmetic number, because the mean of its divisors is an integer number (28633800).

Almost surely, 2^413967393 is an apocalyptic number.

It is an amenable number.

413967393 is a deficient number, since it is larger than the sum of its proper divisors (273243807).

413967393 is a wasteful number, since it uses less digits than its factorization.

413967393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36901 (or 36898 counting only the distinct ones).

The product of its digits is 367416, while the sum is 45.

The square root of 413967393 is about 20346.1886602872. The cubic root of 413967393 is about 745.2844239282.

The spelling of 413967393 in words is "four hundred thirteen million, nine hundred sixty-seven thousand, three hundred ninety-three".