401684 has 12 divisors (see below), whose sum is σ = 709044. Its totient is φ = 199104.

The previous prime is 401671. The next prime is 401689. The reversal of 401684 is 486104.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 334084 + 67600 = 578^2 + 260^2 .

It is a super-2 number, since 2×401684² = 322700071712, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401689) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 182 + ... + 914.

It is an arithmetic number, because the mean of its divisors is an integer number (59087).

2⁴⁰¹⁶⁸⁴ is an apocalyptic number.

It is an amenable number.

401684 is a deficient number, since it is larger than the sum of its proper divisors (307360).

401684 is a wasteful number, since it uses less digits than its factorization.

401684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 401684 is about 633.7854526573. The cubic root of 401684 is about 73.7838836928.

Adding to 401684 its reverse (486104), we get a palindrome (887788).

The spelling of 401684 in words is "four hundred one thousand, six hundred eighty-four".