413065007 has 8 divisors (see below), whose sum is σ = 421316640. Its totient is φ = 404881120.

The previous prime is 413064989. The next prime is 413065013. The reversal of 413065007 is 700560314.

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 413065007 - 2⁶ = 413064943 is a prime.

It is a super-3 number, since 3×413065007³ (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413065907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4532 + ... + 29097.

It is an arithmetic number, because the mean of its divisors is an integer number (52664580).

Almost surely, 2^413065007 is an apocalyptic number.

413065007 is a deficient number, since it is larger than the sum of its proper divisors (8251633).

413065007 is a wasteful number, since it uses less digits than its factorization.

413065007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33873.

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 413065007 is about 20324.0007626451. Note that the first 3 decimals coincide. The cubic root of 413065007 is about 744.7424943718.

The spelling of 413065007 in words is "four hundred thirteen million, sixty-five thousand, seven".