411804960 has 96 divisors (see below), whose sum is σ = 1482509952. Its totient is φ = 94126080.

The previous prime is 411804947. The next prime is 411804971. The reversal of 411804960 is 69408114.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57921 + ... + 64640.

It is an arithmetic number, because the mean of its divisors is an integer number (15442812).

Almost surely, 2^411804960 is an apocalyptic number.

411804960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

411804960 is an abundant number, since it is smaller than the sum of its proper divisors (1070704992).

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

411804960 is a wasteful number, since it uses less digits than its factorization.

411804960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122586 (or 122578 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 411804960 is about 20292.9780958833. The cubic root of 411804960 is about 743.9844487442.

The spelling of 411804960 in words is "four hundred eleven million, eight hundred four thousand, nine hundred sixty".