411189480 has 128 divisors (see below), whose sum is σ = 1476115200. Its totient is φ = 101212416.

The previous prime is 411189479. The next prime is 411189491. The reversal of 411189480 is 84981114.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 604 + ... + 28683.

It is an arithmetic number, because the mean of its divisors is an integer number (11532150).

Almost surely, 2^411189480 is an apocalyptic number.

411189480 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 411189480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738057600).

411189480 is an abundant number, since it is smaller than the sum of its proper divisors (1064925720).

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

411189480 is a wasteful number, since it uses less digits than its factorization.

411189480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29320 (or 29310 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 411189480 is about 20277.8075737985. The cubic root of 411189480 is about 743.6136131053.

The spelling of 411189480 in words is "four hundred eleven million, one hundred eighty-nine thousand, four hundred eighty".