409053600 has 108 divisors (see below), whose sum is σ = 1442450646. Its totient is φ = 109079040.

The previous prime is 409053569. The next prime is 409053607. The reversal of 409053600 is 6350904.

It is a happy number.

409053600 is a `hidden beast` number, since 4 + 0 + 9 + 0 + 53 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 393466896 + 15586704 = 19836^2 + 3948^2 .

It is not an unprimeable number, because it can be changed into a prime (409053607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21207 + ... + 35606.

Almost surely, 2^409053600 is an apocalyptic number.

409053600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

409053600 is an abundant number, since it is smaller than the sum of its proper divisors (1033397046).

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

409053600 is a wasteful number, since it uses less digits than its factorization.

409053600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56839 (or 56823 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 409053600 is about 20225.0735474559. The cubic root of 409053600 is about 742.3238367231.

The spelling of 409053600 in words is "four hundred nine million, fifty-three thousand, six hundred".