401672 has 32 divisors (see below), whose sum is σ = 820800. Its totient is φ = 183744.

The previous prime is 401671. The next prime is 401689. The reversal of 401672 is 276104.

It is a super-2 number, since 2×401672² = 322680791168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401671) by changing a digit.

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, 6779 + ... + 6837.

It is an arithmetic number, because the mean of its divisors is an integer number (25650).

2⁴⁰¹⁶⁷² is an apocalyptic number.

It is an amenable number.

401672 is an abundant number, since it is smaller than the sum of its proper divisors (419128).

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

401672 is a wasteful number, since it uses less digits than its factorization.

401672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 401672 is about 633.7759856605. The cubic root of 401672 is about 73.7831489399.

Adding to 401672 its reverse (276104), we get a palindrome (677776).

The spelling of 401672 in words is "four hundred one thousand, six hundred seventy-two".