411406848 has 240 divisors, whose sum is σ = 1293726720. Its totient is φ = 125411328.

The previous prime is 411406841. The next prime is 411406907. The reversal of 411406848 is 848604114.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411406841) 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, 3239361 + ... + 3239487.

It is an arithmetic number, because the mean of its divisors is an integer number (5390528).

Almost surely, 2^411406848 is an apocalyptic number.

411406848 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 411406848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646863360).

411406848 is an abundant number, since it is smaller than the sum of its proper divisors (882319872).

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

411406848 is a wasteful number, since it uses less digits than its factorization.

411406848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 411406848 is about 20283.1666166800. The cubic root of 411406848 is about 743.7446227232.

The spelling of 411406848 in words is "four hundred eleven million, four hundred six thousand, eight hundred forty-eight".