410980680 has 192 divisors, whose sum is σ = 1479816000. Its totient is φ = 98081280.

The previous prime is 410980657. The next prime is 410980681. The reversal of 410980680 is 86089014.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (410980681) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 264546 + ... + 266094.

It is an arithmetic number, because the mean of its divisors is an integer number (7707375).

Almost surely, 2^410980680 is an apocalyptic number.

410980680 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 410980680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739908000).

410980680 is an abundant number, since it is smaller than the sum of its proper divisors (1068835320).

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

410980680 is a wasteful number, since it uses less digits than its factorization.

410980680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 410980680 is about 20272.6584344530. The cubic root of 410980680 is about 743.4877240132.

The spelling of 410980680 in words is "four hundred ten million, nine hundred eighty thousand, six hundred eighty".