411244968 has 128 divisors (see below), whose sum is σ = 1142553600. Its totient is φ = 122766336.

The previous prime is 411244919. The next prime is 411245041. The reversal of 411244968 is 869442114.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 1184971 + ... + 1185317.

It is an arithmetic number, because the mean of its divisors is an integer number (8926200).

Almost surely, 2^411244968 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 411244968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571276800).

411244968 is an abundant number, since it is smaller than the sum of its proper divisors (731308632).

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

411244968 is a wasteful number, since it uses less digits than its factorization.

411244968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 507 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 411244968 is about 20279.1757228937. The cubic root of 411244968 is about 743.6470606020.

The spelling of 411244968 in words is "four hundred eleven million, two hundred forty-four thousand, nine hundred sixty-eight".