409408400 has 30 divisors (see below), whose sum is σ = 983604642. Its totient is φ = 163763200.

The previous prime is 409408381. The next prime is 409408403. The reversal of 409408400 is 4804904.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 15147664 + 394260736 = 3892^2 + 19856^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409408403) 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, 511361 + ... + 512160.

Almost surely, 2^409408400 is an apocalyptic number.

409408400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

409408400 is an abundant number, since it is smaller than the sum of its proper divisors (574196242).

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

409408400 is a wasteful number, since it uses less digits than its factorization.

409408400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023539 (or 1023528 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 409408400 is about 20233.8429370201. The cubic root of 409408400 is about 742.5383973462.

The spelling of 409408400 in words is "four hundred nine million, four hundred eight thousand, four hundred".