411265008 has 240 divisors, whose sum is σ = 1485619200. Its totient is φ = 103057920.

The previous prime is 411265007. The next prime is 411265009. The reversal of 411265008 is 800562114.

411265008 is a `hidden beast` number, since 4 + 1 + 1 + 2 + 650 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (411265007) and next prime (411265009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411265007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 320913 + ... + 322191.

It is an arithmetic number, because the mean of its divisors is an integer number (6190080).

Almost surely, 2^411265008 is an apocalyptic number.

411265008 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 411265008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742809600).

411265008 is an abundant number, since it is smaller than the sum of its proper divisors (1074354192).

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

411265008 is a wasteful number, since it uses less digits than its factorization.

411265008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 411265008 is about 20279.6698197974. The cubic root of 411265008 is about 743.6591397326.

The spelling of 411265008 in words is "four hundred eleven million, two hundred sixty-five thousand, eight".