411729920 has 128 divisors (see below), whose sum is σ = 1132444800. Its totient is φ = 140771328.

The previous prime is 411729889. The next prime is 411729937. The reversal of 411729920 is 29927114.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1146701 + ... + 1147059.

It is an arithmetic number, because the mean of its divisors is an integer number (8847225).

Almost surely, 2^411729920 is an apocalyptic number.

411729920 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 411729920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566222400).

411729920 is an abundant number, since it is smaller than the sum of its proper divisors (720714880).

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

411729920 is an frugal number, since it uses more digits than its factorization.

411729920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 411729920 is about 20291.1290962332. The cubic root of 411729920 is about 743.9392558415.

The spelling of 411729920 in words is "four hundred eleven million, seven hundred twenty-nine thousand, nine hundred twenty".