407705 has 8 divisors (see below), whose sum is σ = 496392. Its totient is φ = 321408.

The previous prime is 407699. The next prime is 407707. The reversal of 407705 is 507704.

407705 = 451² + 452².

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1936 + 405769 = 44^2 + 637^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-407705 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (407707) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194 + ... + 923.

It is an arithmetic number, because the mean of its divisors is an integer number (62049).

2⁴⁰⁷⁷⁰⁵ is an apocalyptic number.

407705 is the 452-nd centered square number.

It is an amenable number.

407705 is a deficient number, since it is larger than the sum of its proper divisors (88687).

407705 is a wasteful number, since it uses less digits than its factorization.

407705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195.

The product of its (nonzero) digits is 980, while the sum is 23.

The square root of 407705 is about 638.5178149433. The cubic root of 407705 is about 74.1507154743.

Subtracting 407705 from its reverse (507704), we obtain a palindrome (99999).

The spelling of 407705 in words is "four hundred seven thousand, seven hundred five".