411744480 has 384 divisors, whose sum is σ = 1579253760. Its totient is φ = 88197120.

The previous prime is 411744469. The next prime is 411744481. The reversal of 411744480 is 84447114.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411744481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6145407 + ... + 6145473.

It is an arithmetic number, because the mean of its divisors is an integer number (4112640).

Almost surely, 2^411744480 is an apocalyptic number.

411744480 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 411744480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789626880).

411744480 is an abundant number, since it is smaller than the sum of its proper divisors (1167509280).

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

411744480 is a wasteful number, since it uses less digits than its factorization.

411744480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 411744480 is about 20291.4878705333. The cubic root of 411744480 is about 743.9480250430.

It can be divided in two parts, 41174 and 4480, that added together give a palindrome (45654).

The spelling of 411744480 in words is "four hundred eleven million, seven hundred forty-four thousand, four hundred eighty".