409600240 has 80 divisors (see below), whose sum is σ = 1092787200. Its totient is φ = 139864320.

The previous prime is 409600231. The next prime is 409600343. The reversal of 409600240 is 42006904.

409600240 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150411 + ... + 153109.

It is an arithmetic number, because the mean of its divisors is an integer number (13659840).

Almost surely, 2^409600240 is an apocalyptic number.

409600240 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 409600240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546393600).

409600240 is an abundant number, since it is smaller than the sum of its proper divisors (683186960).

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

409600240 is a wasteful number, since it uses less digits than its factorization.

409600240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2990 (or 2984 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 409600240 is about 20238.5829543474. The cubic root of 409600240 is about 742.6543584277.

The spelling of 409600240 in words is "four hundred nine million, six hundred thousand, two hundred forty".