409385070 has 128 divisors (see below), whose sum is σ = 1147392000. Its totient is φ = 103731840.

The previous prime is 409385047. The next prime is 409385071. The reversal of 409385070 is 70583904.

It is a super-2 number, since 2×409385070² = 335192271077809800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409385071) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 493416 + ... + 494244.

It is an arithmetic number, because the mean of its divisors is an integer number (8964000).

Almost surely, 2^409385070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409385070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573696000).

409385070 is an abundant number, since it is smaller than the sum of its proper divisors (738006930).

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

409385070 is a wasteful number, since it uses less digits than its factorization.

409385070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 409385070 is about 20233.2664194391. The cubic root of 409385070 is about 742.5242926446.

The spelling of 409385070 in words is "four hundred nine million, three hundred eighty-five thousand, seventy".