405957 has 4 divisors (see below), whose sum is σ = 541280. Its totient is φ = 270636.

The previous prime is 405949. The next prime is 405959. The reversal of 405957 is 759504.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 405957 - 2³ = 405949 is a prime.

It is a D-number.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 405957.

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 3 ways as a sum of consecutive naturals, for example, 67657 + ... + 67662.

It is an arithmetic number, because the mean of its divisors is an integer number (135320).

2⁴⁰⁵⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

405957 is a deficient number, since it is larger than the sum of its proper divisors (135323).

405957 is a wasteful number, since it uses less digits than its factorization.

405957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135322.

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 405957 is about 637.1475496304. The cubic root of 405957 is about 74.0445920669.

The spelling of 405957 in words is "four hundred five thousand, nine hundred fifty-seven".