405954 has 24 divisors (see below), whose sum is σ = 926640. Its totient is φ = 128088.

The previous prime is 405949. The next prime is 405959. The reversal of 405954 is 459504.

It is an interprime number because it is at equal distance from previous prime (405949) and next prime (405959).

It is a plaindrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 405954.

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

405954 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 252 + ... + 935.

It is an arithmetic number, because the mean of its divisors is an integer number (38610).

2⁴⁰⁵⁹⁵⁴ is an apocalyptic number.

405954 is an abundant number, since it is smaller than the sum of its proper divisors (520686).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

405954 is a wasteful number, since it uses less digits than its factorization.

405954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 405954 is about 637.1451953833. The cubic root of 405954 is about 74.0444096713.

The spelling of 405954 in words is "four hundred five thousand, nine hundred fifty-four".