400192 has 42 divisors (see below), whose sum is σ = 883158. Its totient is φ = 179712.

The previous prime is 400187. The next prime is 400199. The reversal of 400192 is 291004.

It can be written as a sum of positive squares in 3 ways, for example, as 20736 + 379456 = 144^2 + 616^2 .

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400199) by changing a digit.

400192 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10798 + ... + 10834.

2⁴⁰⁰¹⁹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441579).

400192 is an abundant number, since it is smaller than the sum of its proper divisors (482966).

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

400192 is a wasteful number, since it uses less digits than its factorization.

400192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 400192 is about 632.6073031510. The cubic root of 400192 is about 73.6924169879.

Adding to 400192 its reverse (291004), we get a palindrome (691196).

The spelling of 400192 in words is "four hundred thousand, one hundred ninety-two".