411576480 has 432 divisors, whose sum is σ = 1725403680. Its totient is φ = 88833024.

The previous prime is 411576469. The next prime is 411576481. The reversal of 411576480 is 84675114.

It is a happy number.

411576480 is a `hidden beast` number, since 4 + 1 + 1 + 5 + 7 + 648 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (411576481) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1340487 + ... + 1340793.

It is an arithmetic number, because the mean of its divisors is an integer number (3993990).

Almost surely, 2^411576480 is an apocalyptic number.

411576480 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 411576480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862701840).

411576480 is an abundant number, since it is smaller than the sum of its proper divisors (1313827200).

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

411576480 is a wasteful number, since it uses less digits than its factorization.

411576480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 411576480 is about 20287.3477813143. The cubic root of 411576480 is about 743.8468293770.

The spelling of 411576480 in words is "four hundred eleven million, five hundred seventy-six thousand, four hundred eighty".