409872 has 20 divisors (see below), whose sum is σ = 1058960. Its totient is φ = 136608.

The previous prime is 409867. The next prime is 409879. The reversal of 409872 is 278904.

409872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (409879) by changing a digit.

409872 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4222 + ... + 4317.

It is an arithmetic number, because the mean of its divisors is an integer number (52948).

2⁴⁰⁹⁸⁷² is an apocalyptic number.

It is an amenable number.

409872 is an abundant number, since it is smaller than the sum of its proper divisors (649088).

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

409872 is a wasteful number, since it uses less digits than its factorization.

409872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8550 (or 8544 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 409872 is about 640.2124647334. The cubic root of 409872 is about 74.2818566608.

The spelling of 409872 in words is "four hundred nine thousand, eight hundred seventy-two".