411440820 has 192 divisors, whose sum is σ = 1416683520. Its totient is φ = 87118848.

The previous prime is 411440803. The next prime is 411440833. The reversal of 411440820 is 28044114.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 374512 + ... + 375608.

It is an arithmetic number, because the mean of its divisors is an integer number (7378560).

Almost surely, 2^411440820 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 411440820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708341760).

411440820 is an abundant number, since it is smaller than the sum of its proper divisors (1005242700).

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

411440820 is a wasteful number, since it uses less digits than its factorization.

411440820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 411440820 is about 20284.0040425947. The cubic root of 411440820 is about 743.7650937784.

Adding to 411440820 its reverse (28044114), we get a palindrome (439484934).

The spelling of 411440820 in words is "four hundred eleven million, four hundred forty thousand, eight hundred twenty".