409442980 has 24 divisors (see below), whose sum is σ = 873928440. Its totient is φ = 161091840.

The previous prime is 409442939. The next prime is 409442981. The reversal of 409442980 is 89244904.

It can be written as a sum of positive squares in 4 ways, for example, as 14546596 + 394896384 = 3814^2 + 19872^2 .

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (409442981) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166585 + ... + 169024.

It is an arithmetic number, because the mean of its divisors is an integer number (36413685).

Almost surely, 2^409442980 is an apocalyptic number.

It is an amenable number.

409442980 is an abundant number, since it is smaller than the sum of its proper divisors (464485460).

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

409442980 is a wasteful number, since it uses less digits than its factorization.

409442980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335679 (or 335677 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 409442980 is about 20234.6974279330. The cubic root of 409442980 is about 742.5593025148.

It can be divided in two parts, 4094 and 42980, that added together give a palindrome (47074).

The spelling of 409442980 in words is "four hundred nine million, four hundred forty-two thousand, nine hundred eighty".