411828480 has 216 divisors, whose sum is σ = 1628757312. Its totient is φ = 94113792.

The previous prime is 411828479. The next prime is 411828481. The reversal of 411828480 is 84828114.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (411828479) and next prime (411828481).

It is a super-2 number, since 2×411828480² = 339205393878220800, which contains 22 as substring.

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 (411828481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78087 + ... + 83193.

Almost surely, 2^411828480 is an apocalyptic number.

411828480 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 411828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814378656).

411828480 is an abundant number, since it is smaller than the sum of its proper divisors (1216928832).

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

411828480 is a wasteful number, since it uses less digits than its factorization.

411828480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5141 (or 5124 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 411828480 is about 20293.5575984104. The cubic root of 411828480 is about 743.9986125538.

The spelling of 411828480 in words is "four hundred eleven million, eight hundred twenty-eight thousand, four hundred eighty".