407965 has 8 divisors (see below), whose sum is σ = 493920. Its totient is φ = 323472.

The previous prime is 407959. The next prime is 407969. The reversal of 407965 is 569704.

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 407965 - 2¹¹ = 405917 is a prime.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407969) 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 7 ways as a sum of consecutive naturals, for example, 402 + ... + 988.

It is an arithmetic number, because the mean of its divisors is an integer number (61740).

2⁴⁰⁷⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

407965 is a deficient number, since it is larger than the sum of its proper divisors (85955).

407965 is a wasteful number, since it uses less digits than its factorization.

407965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731.

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 407965 is about 638.7213790065. The cubic root of 407965 is about 74.1664744907.

The spelling of 407965 in words is "four hundred seven thousand, nine hundred sixty-five".