411043248 has 240 divisors, whose sum is σ = 1488404736. Its totient is φ = 106686720.

The previous prime is 411043231. The next prime is 411043253. The reversal of 411043248 is 842340114.

411043248 is a `hidden beast` number, since 411 + 0 + 4 + 3 + 248 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 298690 + ... + 300062.

Almost surely, 2^411043248 is an apocalyptic number.

411043248 is a gapful number since it is divisible by the number (48) 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 411043248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744202368).

411043248 is an abundant number, since it is smaller than the sum of its proper divisors (1077361488).

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

411043248 is a wasteful number, since it uses less digits than its factorization.

411043248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 411043248 is about 20274.2015379151. The cubic root of 411043248 is about 743.5254518040.

The spelling of 411043248 in words is "four hundred eleven million, forty-three thousand, two hundred forty-eight".