410819968 has 64 divisors (see below), whose sum is σ = 885931200. Its totient is φ = 188633088.

The previous prime is 410819963. The next prime is 410819999. The reversal of 410819968 is 869918014.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×410819968² = 337546092215042048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (410819963) 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 7 ways as a sum of consecutive naturals, for example, 397180 + ... + 398212.

It is an arithmetic number, because the mean of its divisors is an integer number (13842675).

Almost surely, 2^410819968 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 410819968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442965600).

410819968 is an abundant number, since it is smaller than the sum of its proper divisors (475111232).

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

410819968 is a wasteful number, since it uses less digits than its factorization.

410819968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 46.

The square root of 410819968 is about 20268.6942845364. The cubic root of 410819968 is about 743.3907989562.

The spelling of 410819968 in words is "four hundred ten million, eight hundred nineteen thousand, nine hundred sixty-eight".