409672 has 16 divisors (see below), whose sum is σ = 787500. Its totient is φ = 199680.

The previous prime is 409657. The next prime is 409691. The reversal of 409672 is 276904.

It can be written as a sum of positive squares in 2 ways, for example, as 367236 + 42436 = 606^2 + 206^2 .

It is a super-2 number, since 2×409672² = 335662295168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 409672.

It is an unprimeable 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, 297 + ... + 952.

2⁴⁰⁹⁶⁷² is an apocalyptic number.

It is an amenable number.

409672 is a deficient number, since it is larger than the sum of its proper divisors (377828).

409672 is a wasteful number, since it uses less digits than its factorization.

409672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 409672 is about 640.0562475283. The cubic root of 409672 is about 74.2697725724.

It can be divided in two parts, 409 and 672, that added together give a triangular number (1081 = T₄₆).

The spelling of 409672 in words is "four hundred nine thousand, six hundred seventy-two".