401924 has 12 divisors (see below), whose sum is σ = 711900. Its totient is φ = 198528.

The previous prime is 401917. The next prime is 401939. The reversal of 401924 is 429104.

401924 = T₄₇ + T₄₈ + ... + T₁₃₅.

It can be written as a sum of positive squares in 2 ways, for example, as 53824 + 348100 = 232^2 + 590^2 .

It is a junction number, because it is equal to n+sod(n) for n = 401896 and 401905.

It is an unprimeable number.

401924 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 209 + ... + 920.

It is an arithmetic number, because the mean of its divisors is an integer number (59325).

2⁴⁰¹⁹²⁴ is an apocalyptic number.

It is an amenable number.

401924 is a deficient number, since it is larger than the sum of its proper divisors (309976).

401924 is a wasteful number, since it uses less digits than its factorization.

401924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 401924 is about 633.9747629046. The cubic root of 401924 is about 73.7985756782.

The spelling of 401924 in words is "four hundred one thousand, nine hundred twenty-four".