405707 has 8 divisors (see below), whose sum is σ = 432960. Its totient is φ = 379080.

The previous prime is 405703. The next prime is 405709. The reversal of 405707 is 707504.

It is a happy number.

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 405707 - 2² = 405703 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 405707.

It is not an unprimeable number, because it can be changed into a prime (405701) 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, 2408 + ... + 2570.

It is an arithmetic number, because the mean of its divisors is an integer number (54120).

2⁴⁰⁵⁷⁰⁷ is an apocalyptic number.

405707 is a deficient number, since it is larger than the sum of its proper divisors (27253).

405707 is a wasteful number, since it uses less digits than its factorization.

405707 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313.

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

The square root of 405707 is about 636.9513325208. The cubic root of 405707 is about 74.0293893490.

The spelling of 405707 in words is "four hundred five thousand, seven hundred seven".