411536160 has 384 divisors, whose sum is σ = 1703116800. Its totient is φ = 90823680.

The previous prime is 411536159. The next prime is 411536173. The reversal of 411536160 is 61635114.

411536160 is a `hidden beast` number, since 41 + 1 + 5 + 3 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 937221 + ... + 937659.

It is an arithmetic number, because the mean of its divisors is an integer number (4435200).

Almost surely, 2^411536160 is an apocalyptic number.

411536160 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 411536160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851558400).

411536160 is an abundant number, since it is smaller than the sum of its proper divisors (1291580640).

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

411536160 is a wasteful number, since it uses less digits than its factorization.

411536160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 411536160 is about 20286.3540341778. The cubic root of 411536160 is about 743.8225383197.

The spelling of 411536160 in words is "four hundred eleven million, five hundred thirty-six thousand, one hundred sixty".