409252704 has 216 divisors, whose sum is σ = 1324389528. Its totient is φ = 110315520.

The previous prime is 409252667. The next prime is 409252709. The reversal of 409252704 is 407252904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409252709) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1698024 + ... + 1698264.

It is an arithmetic number, because the mean of its divisors is an integer number (6131433).

Almost surely, 2^409252704 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 409252704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662194764).

409252704 is an abundant number, since it is smaller than the sum of its proper divisors (915136824).

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

409252704 is a wasteful number, since it uses less digits than its factorization.

409252704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 409252704 is about 20229.9951557088. The cubic root of 409252704 is about 742.4442575119. Note that the first 3 decimals are identical.

The spelling of 409252704 in words is "four hundred nine million, two hundred fifty-two thousand, seven hundred four".