410780656 has 160 divisors (see below), whose sum is σ = 1012435200. Its totient is φ = 158576640.

The previous prime is 410780647. The next prime is 410780717. The reversal of 410780656 is 656087014.

It is a zygodrome in base 2.

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, 2294775 + ... + 2294953.

It is an arithmetic number, because the mean of its divisors is an integer number (6327720).

Almost surely, 2^410780656 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 410780656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506217600).

410780656 is an abundant number, since it is smaller than the sum of its proper divisors (601654544).

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

410780656 is a wasteful number, since it uses less digits than its factorization.

410780656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 410780656 is about 20267.7244899372. The cubic root of 410780656 is about 743.3670861269.

The spelling of 410780656 in words is "four hundred ten million, seven hundred eighty thousand, six hundred fifty-six".