1000409000 has 32 divisors (see below), whose sum is σ = 2340959400. Its totient is φ = 400163200.

The previous prime is 1000408987. The next prime is 1000409023. The reversal of 1000409000 is 9040001.

It can be written as a sum of positive squares in 4 ways, for example, as 599368324 + 401040676 = 24482^2 + 20026^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 499205 + ... + 501204.

Almost surely, 2^1000409000 is an apocalyptic number.

1000409000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000409000 is an abundant number, since it is smaller than the sum of its proper divisors (1340550400).

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

1000409000 is a wasteful number, since it uses less digits than its factorization.

1000409000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000430 (or 1000416 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1000409000 is about 31629.2427983978. The cubic root of 1000409000 is about 1000.1363147508.

Adding to 1000409000 its reverse (9040001), we get a palindrome (1009449001).

The spelling of 1000409000 in words is "one billion, four hundred nine thousand".