401448 has 32 divisors (see below), whose sum is σ = 1029600. Its totient is φ = 130368.

The previous prime is 401417. The next prime is 401473. The reversal of 401448 is 844104.

It is a super-2 number, since 2×401448² = 322320993408, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 401448.

It is an unprimeable number.

401448 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 7 ways as a sum of consecutive naturals, for example, 838 + ... + 1226.

It is an arithmetic number, because the mean of its divisors is an integer number (32175).

2⁴⁰¹⁴⁴⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514800).

401448 is an abundant number, since it is smaller than the sum of its proper divisors (628152).

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

401448 is a wasteful number, since it uses less digits than its factorization.

401448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 401448 is about 633.5992424238. The cubic root of 401448 is about 73.7694308659.

The spelling of 401448 in words is "four hundred one thousand, four hundred forty-eight".