409600000 has 108 divisors (see below), whose sum is σ = 1023930558. Its totient is φ = 163840000.

The previous prime is 409599991. The next prime is 409600001. The reversal of 409600000 is 6904.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 589824 + 409010176 = 768^2 + 20224^2 .

It is not an unprimeable number, because it can be changed into a prime (409600001) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 81919998 + ... + 81920002.

Almost surely, 2^409600000 is an apocalyptic number.

409600000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511965279).

409600000 is an abundant number, since it is smaller than the sum of its proper divisors (614330558).

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

409600000 is an frugal number, since it uses more digits than its factorization.

409600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 409600000 is about 20238.5770250776. The cubic root of 409600000 is about 742.6542133780.

Adding to 409600000 its reverse (6904), we get a palindrome (409606904).

The spelling of 409600000 in words is "four hundred nine million, six hundred thousand".