401024 has 32 divisors (see below), whose sum is σ = 863940. Its totient is φ = 184320.

The previous prime is 401017. The next prime is 401029. The reversal of 401024 is 420104.

It can be written as a sum of positive squares in 2 ways, for example, as 399424 + 1600 = 632^2 + 40^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 400996 and 401014.

It is not an unprimeable number, because it can be changed into a prime (401029) 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 3 ways as a sum of consecutive naturals, for example, 1544 + ... + 1784.

2⁴⁰¹⁰²⁴ 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 401024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431970).

401024 is an abundant number, since it is smaller than the sum of its proper divisors (462916).

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

401024 is a wasteful number, since it uses less digits than its factorization.

401024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 401024 is about 633.2645576692. The cubic root of 401024 is about 73.7434505340.

Adding to 401024 its reverse (420104), we get a palindrome (821128).

The spelling of 401024 in words is "four hundred one thousand, twenty-four", and thus it is an iban number.