409529940 has 96 divisors (see below), whose sum is σ = 1182263040. Its totient is φ = 105870336.

The previous prime is 409529921. The next prime is 409529963. The reversal of 409529940 is 49925904.

It is a junction number, because it is equal to n+sod(n) for n = 409529892 and 409529901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282297 + ... + 283743.

It is an arithmetic number, because the mean of its divisors is an integer number (12315240).

Almost surely, 2^409529940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409529940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591131520).

409529940 is an abundant number, since it is smaller than the sum of its proper divisors (772733100).

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

409529940 is a wasteful number, since it uses less digits than its factorization.

409529940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 409529940 is about 20236.8460981448. The cubic root of 409529940 is about 742.6118685530.

The spelling of 409529940 in words is "four hundred nine million, five hundred twenty-nine thousand, nine hundred forty".