401948 has 24 divisors (see below), whose sum is σ = 780192. Its totient is φ = 180224.

The previous prime is 401939. The next prime is 401953. The reversal of 401948 is 849104.

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 401948.

It is an unprimeable number.

401948 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1436 + ... + 1692.

It is an arithmetic number, because the mean of its divisors is an integer number (32508).

2⁴⁰¹⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

401948 is a deficient number, since it is larger than the sum of its proper divisors (378244).

401948 is a wasteful number, since it uses less digits than its factorization.

401948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 401948 is about 633.9936908203. The cubic root of 401948 is about 73.8000445551.

The spelling of 401948 in words is "four hundred one thousand, nine hundred forty-eight".