400992 has 24 divisors (see below), whose sum is σ = 1052856. Its totient is φ = 133632.

The previous prime is 400963. The next prime is 400997. The reversal of 400992 is 299004.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (24) 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 (24).

It is an Ulam number.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 400992.

It is not an unprimeable number, because it can be changed into a prime (400997) by changing a digit.

400992 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1993 + ... + 2184.

It is an arithmetic number, because the mean of its divisors is an integer number (43869).

2⁴⁰⁰⁹⁹² is an apocalyptic number.

It is an amenable number.

400992 is an abundant number, since it is smaller than the sum of its proper divisors (651864).

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

400992 is a wasteful number, since it uses less digits than its factorization.

400992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4190 (or 4182 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 400992 is about 633.2392912636. The cubic root of 400992 is about 73.7414890111.

Adding to 400992 its reverse (299004), we get a palindrome (699996).

The spelling of 400992 in words is "four hundred thousand, nine hundred ninety-two".