411412320 has 288 divisors, whose sum is σ = 1613364480. Its totient is φ = 94417920.

The previous prime is 411412297. The next prime is 411412363. The reversal of 411412320 is 23214114.

411412320 = T₃₁₂ + T₃₁₃ + ... + T₁₃₅₆.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 411412293 and 411412302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300277 + ... + 301643.

It is an arithmetic number, because the mean of its divisors is an integer number (5601960).

Almost surely, 2^411412320 is an apocalyptic number.

411412320 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 411412320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806682240).

411412320 is an abundant number, since it is smaller than the sum of its proper divisors (1201952160).

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

411412320 is a wasteful number, since it uses less digits than its factorization.

411412320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 411412320 is about 20283.3015064116. The cubic root of 411412320 is about 743.7479201505.

Adding to 411412320 its reverse (23214114), we get a palindrome (434626434).

The spelling of 411412320 in words is "four hundred eleven million, four hundred twelve thousand, three hundred twenty".