405952 has 14 divisors (see below), whose sum is σ = 805688. Its totient is φ = 202944.

The previous prime is 405949. The next prime is 405959. The reversal of 405952 is 259504.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3108 + ... + 3235.

2⁴⁰⁵⁹⁵² is an apocalyptic number.

It is an amenable number.

405952 is a deficient number, since it is larger than the sum of its proper divisors (399736).

405952 is an equidigital number, since it uses as much as digits as its factorization.

405952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6355 (or 6345 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 405952 is about 637.1436258804. The cubic root of 405952 is about 74.0442880737.

The spelling of 405952 in words is "four hundred five thousand, nine hundred fifty-two".