401312 has 12 divisors (see below), whose sum is σ = 790146. Its totient is φ = 200640.

The previous prime is 401311. The next prime is 401321. The reversal of 401312 is 213104.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 274576 + 126736 = 524^2 + 356^2 .

It is a super-2 number, since 2×401312² = 322102642688, which contains 22 as substring.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 401293 and 401302.

It is not an unprimeable number, because it can be changed into a prime (401311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6239 + ... + 6302.

2⁴⁰¹³¹² is an apocalyptic number.

It is an amenable number.

401312 is a deficient number, since it is larger than the sum of its proper divisors (388834).

401312 is a wasteful number, since it uses less digits than its factorization.

401312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12551 (or 12543 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 401312 is about 633.4919099720. The cubic root of 401312 is about 73.7610995455.

Adding to 401312 its reverse (213104), we get a palindrome (614416).

The spelling of 401312 in words is "four hundred one thousand, three hundred twelve", and thus it is an iban number.