401284 has 12 divisors (see below), whose sum is σ = 756364. Its totient is φ = 185184.

The previous prime is 401279. The next prime is 401287. The reversal of 401284 is 482104.

It can be written as a sum of positive squares in 2 ways, for example, as 122500 + 278784 = 350^2 + 528^2 .

It is a super-2 number, since 2×401284² = 322057697312, which contains 22 as substring.

It is a plaindrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (401287) by changing a digit.

401284 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3807 + ... + 3910.

2⁴⁰¹²⁸⁴ is an apocalyptic number.

It is an amenable number.

401284 is a deficient number, since it is larger than the sum of its proper divisors (355080).

401284 is a wasteful number, since it uses less digits than its factorization.

401284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7734 (or 7732 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 401284 is about 633.4698098568. The cubic root of 401284 is about 73.7593840400.

Adding to 401284 its reverse (482104), we get a palindrome (883388).

It can be divided in two parts, 4012 and 84, that added together give a 12-th power (4096 = 2¹²).

The spelling of 401284 in words is "four hundred one thousand, two hundred eighty-four".