409438260 has 384 divisors, whose sum is σ = 1632153600. Its totient is φ = 82736640.

The previous prime is 409438241. The next prime is 409438279. The reversal of 409438260 is 62834904.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (409438241) and next prime (409438279).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1787826 + ... + 1788054.

It is an arithmetic number, because the mean of its divisors is an integer number (4250400).

Almost surely, 2^409438260 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 409438260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816076800).

409438260 is an abundant number, since it is smaller than the sum of its proper divisors (1222715340).

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

409438260 is a wasteful number, since it uses less digits than its factorization.

409438260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 409438260 is about 20234.5807962508. The cubic root of 409438260 is about 742.5564491314.

The spelling of 409438260 in words is "four hundred nine million, four hundred thirty-eight thousand, two hundred sixty".