408492 has 36 divisors (see below), whose sum is σ = 1180816. Its totient is φ = 116640.

The previous prime is 408491. The next prime is 408497. The reversal of 408492 is 294804.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (408491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 559 + ... + 1062.

2⁴⁰⁸⁴⁹² is an apocalyptic number.

408492 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

408492 is an abundant number, since it is smaller than the sum of its proper divisors (772324).

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

408492 is a wasteful number, since it uses less digits than its factorization.

408492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 408492 is about 639.1337888111. The cubic root of 408492 is about 74.1983962765.

It can be divided in two parts, 408 and 492, that added together give a square (900 = 30²).

The spelling of 408492 in words is "four hundred eight thousand, four hundred ninety-two".