400392 has 48 divisors (see below), whose sum is σ = 1113840. Its totient is φ = 129888.

The previous prime is 400391. The next prime is 400409. The reversal of 400392 is 293004.

It is a super-3 number, since 3×400392³ = 192565033371108864, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (400391) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4783 + ... + 4865.

It is an arithmetic number, because the mean of its divisors is an integer number (23205).

2⁴⁰⁰³⁹² 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 400392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556920).

400392 is an abundant number, since it is smaller than the sum of its proper divisors (713448).

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

400392 is a wasteful number, since it uses less digits than its factorization.

400392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 400392 is about 632.7653593553. The cubic root of 400392 is about 73.7046911203.

Adding to 400392 its reverse (293004), we get a palindrome (693396).

It can be divided in two parts, 4003 and 92, that added together give a triangular number (4095 = T₉₀).

The spelling of 400392 in words is "four hundred thousand, three hundred ninety-two".