411552960 has 336 divisors, whose sum is σ = 1639372896. Its totient is φ = 86704128.

The previous prime is 411552959. The next prime is 411552971. The reversal of 411552960 is 69255114.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 611184 + ... + 611856.

It is an arithmetic number, because the mean of its divisors is an integer number (4879086).

Almost surely, 2^411552960 is an apocalyptic number.

411552960 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 411552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819686448).

411552960 is an abundant number, since it is smaller than the sum of its proper divisors (1227819936).

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

411552960 is a wasteful number, since it uses less digits than its factorization.

411552960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 411552960 is about 20286.7681014005. The cubic root of 411552960 is about 743.8326597864.

It can be divided in two parts, 4115 and 52960, that added together give a palindrome (57075).

The spelling of 411552960 in words is "four hundred eleven million, five hundred fifty-two thousand, nine hundred sixty".