400112 has 20 divisors (see below), whose sum is σ = 821376. Its totient is φ = 188160.

The previous prime is 400109. The next prime is 400123. The reversal of 400112 is 211004.

It is a super-2 number, since 2×400112² = 320179225088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 400112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 464 + ... + 1007.

2⁴⁰⁰¹¹² is an apocalyptic number.

It is an amenable number.

400112 is an abundant number, since it is smaller than the sum of its proper divisors (421264).

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

400112 is a wasteful number, since it uses less digits than its factorization.

400112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 400112 is about 632.5440696110. The cubic root of 400112 is about 73.6875061899.

Adding to 400112 its reverse (211004), we get a palindrome (611116).

It can be divided in two parts, 400 and 112, that added together give a 9-th power (512 = 2⁹).

The spelling of 400112 in words is "four hundred thousand, one hundred twelve", and thus it is an iban number.