406392 has 64 divisors (see below), whose sum is σ = 1209600. Its totient is φ = 111360.

The previous prime is 406381. The next prime is 406397. The reversal of 406392 is 293604.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

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 406392.

It is not an unprimeable number, because it can be changed into a prime (406397) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6859 + ... + 6917.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2⁴⁰⁶³⁹² is an apocalyptic number.

406392 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604800).

406392 is an abundant number, since it is smaller than the sum of its proper divisors (803208).

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

406392 is a wasteful number, since it uses less digits than its factorization.

406392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 406392 is about 637.4888234314. The cubic root of 406392 is about 74.0710299243.

Adding to 406392 its reverse (293604), we get a palindrome (699996).

The spelling of 406392 in words is "four hundred six thousand, three hundred ninety-two".