411790080 has 288 divisors, whose sum is σ = 1448427456. Its totient is φ = 99090432.

The previous prime is 411790063. The next prime is 411790109. The reversal of 411790080 is 80097114.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3644104 + ... + 3644216.

It is an arithmetic number, because the mean of its divisors is an integer number (5029262).

Almost surely, 2^411790080 is an apocalyptic number.

411790080 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 411790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724213728).

411790080 is an abundant number, since it is smaller than the sum of its proper divisors (1036637376).

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

411790080 is a wasteful number, since it uses less digits than its factorization.

411790080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 411790080 is about 20292.6114632888. The cubic root of 411790080 is about 743.9754876882.

The spelling of 411790080 in words is "four hundred eleven million, seven hundred ninety thousand, eighty".