401955 has 16 divisors (see below), whose sum is σ = 651264. Its totient is φ = 211680.

The previous prime is 401953. The next prime is 401957. The reversal of 401955 is 559104.

401955 is nontrivially palindromic in base 2.

It is a Cunningham number, because it is equal to 634²-1.

It is an interprime number because it is at equal distance from previous prime (401953) and next prime (401957).

It is not a de Polignac number, because 401955 - 2¹ = 401953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (401953) 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 in 15 ways as a sum of consecutive naturals, for example, 1800 + ... + 2010.

It is an arithmetic number, because the mean of its divisors is an integer number (40704).

2⁴⁰¹⁹⁵⁵ is an apocalyptic number.

401955 is a deficient number, since it is larger than the sum of its proper divisors (249309).

401955 is a wasteful number, since it uses less digits than its factorization.

401955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346.

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 401955 is about 633.9992113560. Note that the first 3 decimals coincide. The cubic root of 401955 is about 73.8004729665.

The spelling of 401955 in words is "four hundred one thousand, nine hundred fifty-five".