405953 has 8 divisors (see below), whose sum is σ = 422688. Its totient is φ = 389664.

The previous prime is 405949. The next prime is 405959. The reversal of 405953 is 359504.

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 405953 - 2² = 405949 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (405959) 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, 4850 + ... + 4932.

It is an arithmetic number, because the mean of its divisors is an integer number (52836).

2⁴⁰⁵⁹⁵³ is an apocalyptic number.

It is an amenable number.

405953 is a deficient number, since it is larger than the sum of its proper divisors (16735).

405953 is an equidigital number, since it uses as much as digits as its factorization.

405953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223.

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 405953 is about 637.1444106323. The cubic root of 405953 is about 74.0443488725.

The spelling of 405953 in words is "four hundred five thousand, nine hundred fifty-three".