411097680 has 560 divisors, whose sum is σ = 1756494720. Its totient is φ = 87340032.

The previous prime is 411097669. The next prime is 411097691. The reversal of 411097680 is 86790114.

It is an interprime number because it is at equal distance from previous prime (411097669) and next prime (411097691).

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7756534 + ... + 7756586.

Almost surely, 2^411097680 is an apocalyptic number.

411097680 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 411097680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878247360).

411097680 is an abundant number, since it is smaller than the sum of its proper divisors (1345397040).

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

411097680 is a wasteful number, since it uses less digits than its factorization.

411097680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 411097680 is about 20275.5438891291. The cubic root of 411097680 is about 743.5582705656.

The spelling of 411097680 in words is "four hundred eleven million, ninety-seven thousand, six hundred eighty".