411195456 has 252 divisors, whose sum is σ = 1453388508. Its totient is φ = 110444544.

The previous prime is 411195431. The next prime is 411195457. The reversal of 411195456 is 654591114.

411195456 is a `hidden beast` number, since 4 + 11 + 195 + 456 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 354041856 + 57153600 = 18816^2 + 7560^2 .

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a self number, because there is not a number n which added to its sum of digits gives 411195456.

It is not an unprimeable number, because it can be changed into a prime (411195457) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 479380 + ... + 480236.

Almost surely, 2^411195456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411195456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726694254).

411195456 is an abundant number, since it is smaller than the sum of its proper divisors (1042193052).

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

411195456 is a wasteful number, since it uses less digits than its factorization.

411195456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 886 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 411195456 is about 20277.9549264713. The cubic root of 411195456 is about 743.6172155106.

The spelling of 411195456 in words is "four hundred eleven million, one hundred ninety-five thousand, four hundred fifty-six".