409147368 has 128 divisors (see below), whose sum is σ = 1284249600. Its totient is φ = 105912576.

The previous prime is 409147367. The next prime is 409147397. The reversal of 409147368 is 863741904.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (409147367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70630 + ... + 76202.

It is an arithmetic number, because the mean of its divisors is an integer number (10033200).

Almost surely, 2^409147368 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 409147368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642124800).

409147368 is an abundant number, since it is smaller than the sum of its proper divisors (875102232).

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

409147368 is a wasteful number, since it uses less digits than its factorization.

409147368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5631 (or 5627 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 409147368 is about 20227.3915273324. The cubic root of 409147368 is about 742.3805537431.

The spelling of 409147368 in words is "four hundred nine million, one hundred forty-seven thousand, three hundred sixty-eight".