410320680 has 256 divisors, whose sum is σ = 1551605760. Its totient is φ = 85029120.

The previous prime is 410320657. The next prime is 410320693. The reversal of 410320680 is 86023014.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 410320680.

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, 1117857 + ... + 1118223.

It is an arithmetic number, because the mean of its divisors is an integer number (6060960).

Almost surely, 2^410320680 is an apocalyptic number.

410320680 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 410320680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775802880).

410320680 is an abundant number, since it is smaller than the sum of its proper divisors (1141285080).

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

410320680 is a wasteful number, since it uses less digits than its factorization.

410320680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 410320680 is about 20256.3738117166. The cubic root of 410320680 is about 743.0895181027.

Adding to 410320680 its reverse (86023014), we get a palindrome (496343694).

The spelling of 410320680 in words is "four hundred ten million, three hundred twenty thousand, six hundred eighty".