411900720 has 320 divisors, whose sum is σ = 1645608960. Its totient is φ = 82713600.

The previous prime is 411900691. The next prime is 411900733. The reversal of 411900720 is 27009114.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 572521 + ... + 573239.

It is an arithmetic number, because the mean of its divisors is an integer number (5142528).

Almost surely, 2^411900720 is an apocalyptic number.

411900720 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 411900720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822804480).

411900720 is an abundant number, since it is smaller than the sum of its proper divisors (1233708240).

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

411900720 is a wasteful number, since it uses less digits than its factorization.

411900720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 411900720 is about 20295.3373955695. The cubic root of 411900720 is about 744.0421123116.

Adding to 411900720 its reverse (27009114), we get a palindrome (438909834).

The spelling of 411900720 in words is "four hundred eleven million, nine hundred thousand, seven hundred twenty".