410342240 has 192 divisors, whose sum is σ = 1272983040. Its totient is φ = 121098240.

The previous prime is 410342239. The next prime is 410342279. The reversal of 410342240 is 42243014.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233204 + ... + 234956.

It is an arithmetic number, because the mean of its divisors is an integer number (6630120).

Almost surely, 2^410342240 is an apocalyptic number.

410342240 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 410342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636491520).

410342240 is an abundant number, since it is smaller than the sum of its proper divisors (862640800).

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

410342240 is a wasteful number, since it uses less digits than its factorization.

410342240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 410342240 is about 20256.9059828988. The cubic root of 410342240 is about 743.1025329065.

Adding to 410342240 its reverse (42243014), we get a palindrome (452585254).

The spelling of 410342240 in words is "four hundred ten million, three hundred forty-two thousand, two hundred forty".