409724 has 12 divisors (see below), whose sum is σ = 819504. Its totient is φ = 175584.

The previous prime is 409723. The next prime is 409729. The reversal of 409724 is 427904.

409724 is an admirable number.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 409693 and 409702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409723) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7289 + ... + 7344.

It is an arithmetic number, because the mean of its divisors is an integer number (68292).

2⁴⁰⁹⁷²⁴ is an apocalyptic number.

It is an amenable number.

409724 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

409724 is a wasteful number, since it uses less digits than its factorization.

409724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14644 (or 14642 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 409724 is about 640.0968676693. The cubic root of 409724 is about 74.2729148136.

The spelling of 409724 in words is "four hundred nine thousand, seven hundred twenty-four".