400452 has 48 divisors (see below), whose sum is σ = 1072512. Its totient is φ = 115200.

The previous prime is 400441. The next prime is 400457. The reversal of 400452 is 254004.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 400452.

It is not an unprimeable number, because it can be changed into a prime (400457) by changing a digit.

400452 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 15 ways as a sum of consecutive naturals, for example, 2577 + ... + 2727.

It is an arithmetic number, because the mean of its divisors is an integer number (22344).

2⁴⁰⁰⁴⁵² 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 400452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536256).

400452 is an abundant number, since it is smaller than the sum of its proper divisors (672060).

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

400452 is a wasteful number, since it uses less digits than its factorization.

400452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 400452 is about 632.8127685185. The cubic root of 400452 is about 73.7083725630.

Adding to 400452 its reverse (254004), we get a palindrome (654456).

The spelling of 400452 in words is "four hundred thousand, four hundred fifty-two".