411797568 has 336 divisors, whose sum is σ = 1413052800. Its totient is φ = 105670656.

The previous prime is 411797537. The next prime is 411797569. The reversal of 411797568 is 865797114.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411797569) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11129646 + ... + 11129682.

Almost surely, 2^411797568 is an apocalyptic number.

411797568 is a gapful number since it is divisible by the number (48) 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 411797568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706526400).

411797568 is an abundant number, since it is smaller than the sum of its proper divisors (1001255232).

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

411797568 is a wasteful number, since it uses less digits than its factorization.

411797568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 62 counting only the distinct ones).

The product of its digits is 423360, while the sum is 48.

The square root of 411797568 is about 20292.7959630998. The cubic root of 411797568 is about 743.9799971498.

The spelling of 411797568 in words is "four hundred eleven million, seven hundred ninety-seven thousand, five hundred sixty-eight".