409200540 has 192 divisors, whose sum is σ = 1398104064. Its totient is φ = 87293952.

The previous prime is 409200481. The next prime is 409200553. The reversal of 409200540 is 45002904.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 409200540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1592092 + ... + 1592348.

It is an arithmetic number, because the mean of its divisors is an integer number (7281792).

Almost surely, 2^409200540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409200540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699052032).

409200540 is an abundant number, since it is smaller than the sum of its proper divisors (988903524).

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

409200540 is a wasteful number, since it uses less digits than its factorization.

409200540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 409200540 is about 20228.7058409578. The cubic root of 409200540 is about 742.4127117967.

The spelling of 409200540 in words is "four hundred nine million, two hundred thousand, five hundred forty".