407413407 has 8 divisors (see below), whose sum is σ = 550869120. Its totient is φ = 267783320.

The previous prime is 407413397. The next prime is 407413417. The reversal of 407413407 is 704314704.

It is an interprime number because it is at equal distance from previous prime (407413397) and next prime (407413417).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 407413407 - 2¹¹ = 407411359 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407413417) 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 7 ways as a sum of consecutive naturals, for example, 956157 + ... + 956582.

It is an arithmetic number, because the mean of its divisors is an integer number (68858640).

Almost surely, 2^407413407 is an apocalyptic number.

407413407 is a deficient number, since it is larger than the sum of its proper divisors (143455713).

407413407 is a wasteful number, since it uses less digits than its factorization.

407413407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912813.

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 407413407 is about 20184.4843134523. The cubic root of 407413407 is about 741.3303358316.

The spelling of 407413407 in words is "four hundred seven million, four hundred thirteen thousand, four hundred seven".