409372 has 12 divisors (see below), whose sum is σ = 730296. Its totient is φ = 200720.

The previous prime is 409369. The next prime is 409379. The reversal of 409372 is 273904.

It is a super-3 number, since 3×409372³ = 205814353333940544, which contains 333 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409379) 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 3 ways as a sum of consecutive naturals, for example, 754 + ... + 1177.

It is an arithmetic number, because the mean of its divisors is an integer number (60858).

2⁴⁰⁹³⁷² is an apocalyptic number.

It is an amenable number.

409372 is a deficient number, since it is larger than the sum of its proper divisors (320924).

409372 is a wasteful number, since it uses less digits than its factorization.

409372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 1986 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 409372 is about 639.8218502052. The cubic root of 409372 is about 74.2516390634.

The spelling of 409372 in words is "four hundred nine thousand, three hundred seventy-two".