411640320 has 640 divisors, whose sum is σ = 1759887360. Its totient is φ = 79626240.

The previous prime is 411640309. The next prime is 411640331. The reversal of 411640320 is 23046114.

It is an interprime number because it is at equal distance from previous prime (411640309) and next prime (411640331).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13278705 + ... + 13278735.

It is an arithmetic number, because the mean of its divisors is an integer number (2749824).

Almost surely, 2^411640320 is an apocalyptic number.

411640320 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 411640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879943680).

411640320 is an abundant number, since it is smaller than the sum of its proper divisors (1348247040).

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

411640320 is a wasteful number, since it uses less digits than its factorization.

411640320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 411640320 is about 20288.9211147365. The cubic root of 411640320 is about 743.8852869735.

Adding to 411640320 its reverse (23046114), we get a palindrome (434686434).

The spelling of 411640320 in words is "four hundred eleven million, six hundred forty thousand, three hundred twenty".