411729120 has 432 divisors, whose sum is σ = 1646976240. Its totient is φ = 93265920.

The previous prime is 411729091. The next prime is 411729121. The reversal of 411729120 is 21927114.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411729121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2962011 + ... + 2962149.

It is an arithmetic number, because the mean of its divisors is an integer number (3812445).

Almost surely, 2^411729120 is an apocalyptic number.

411729120 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 411729120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823488120).

411729120 is an abundant number, since it is smaller than the sum of its proper divisors (1235247120).

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

411729120 is a wasteful number, since it uses less digits than its factorization.

411729120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 411729120 is about 20291.1093831757. The cubic root of 411729120 is about 743.9387740113.

The spelling of 411729120 in words is "four hundred eleven million, seven hundred twenty-nine thousand, one hundred twenty".