411512320 has 160 divisors (see below), whose sum is σ = 1069485120. Its totient is φ = 151388160.

The previous prime is 411512287. The next prime is 411512323. The reversal of 411512320 is 23215114.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411512323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1707400 + ... + 1707640.

It is an arithmetic number, because the mean of its divisors is an integer number (6684282).

Almost surely, 2^411512320 is an apocalyptic number.

411512320 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 411512320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534742560).

411512320 is an abundant number, since it is smaller than the sum of its proper divisors (657972800).

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

411512320 is a wasteful number, since it uses less digits than its factorization.

411512320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 411512320 is about 20285.7664385648. The cubic root of 411512320 is about 743.8081750037.

Adding to 411512320 its reverse (23215114), we get a palindrome (434727434).

The spelling of 411512320 in words is "four hundred eleven million, five hundred twelve thousand, three hundred twenty".