409560 has 32 divisors (see below), whose sum is σ = 1229040. Its totient is φ = 109184.

The previous prime is 409543. The next prime is 409573. The reversal of 409560 is 65904.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 409560.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 409560.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1587 + ... + 1826.

2⁴⁰⁹⁵⁶⁰ is an apocalyptic number.

409560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

409560 is an abundant number, since it is smaller than the sum of its proper divisors (819480).

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

409560 is a wasteful number, since it uses less digits than its factorization.

409560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3427 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 409560 is about 639.9687492370. The cubic root of 409560 is about 74.2630037649.

It can be divided in two parts, 409 and 560, that added together give a palindrome (969).

The spelling of 409560 in words is "four hundred nine thousand, five hundred sixty".