409504720 has 80 divisors (see below), whose sum is σ = 1026809280. Its totient is φ = 151372800.

The previous prime is 409504709. The next prime is 409504727. The reversal of 409504720 is 27405904.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409504727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59035 + ... + 65605.

It is an arithmetic number, because the mean of its divisors is an integer number (12835116).

Almost surely, 2^409504720 is an apocalyptic number.

409504720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409504720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513404640).

409504720 is an abundant number, since it is smaller than the sum of its proper divisors (617304560).

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

409504720 is a wasteful number, since it uses less digits than its factorization.

409504720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6644 (or 6638 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 409504720 is about 20236.2229677378. Note that the first 3 decimals coincide. The cubic root of 409504720 is about 742.5966242009.

The spelling of 409504720 in words is "four hundred nine million, five hundred four thousand, seven hundred twenty".