411985536 has 128 divisors (see below), whose sum is σ = 1152714240. Its totient is φ = 130191360.

The previous prime is 411985517. The next prime is 411985547. The reversal of 411985536 is 635589114.

It is a tau number, because it is divible by the number of its divisors (128).

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, 630586 + ... + 631238.

It is an arithmetic number, because the mean of its divisors is an integer number (9005580).

Almost surely, 2^411985536 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 411985536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576357120).

411985536 is an abundant number, since it is smaller than the sum of its proper divisors (740728704).

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

411985536 is a wasteful number, since it uses less digits than its factorization.

411985536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 742 counting only the distinct ones).

The product of its digits is 129600, while the sum is 42.

The square root of 411985536 is about 20297.4268319903. The cubic root of 411985536 is about 744.0931782941.

The spelling of 411985536 in words is "four hundred eleven million, nine hundred eighty-five thousand, five hundred thirty-six".