411454120 has 256 divisors, whose sum is σ = 1244160000. Its totient is φ = 118609920.

The previous prime is 411454093. The next prime is 411454129. The reversal of 411454120 is 21454114.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 411454091 and 411454100.

It is not an unprimeable number, because it can be changed into a prime (411454129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4623036 + ... + 4623124.

It is an arithmetic number, because the mean of its divisors is an integer number (4860000).

Almost surely, 2^411454120 is an apocalyptic number.

411454120 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 411454120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622080000).

411454120 is an abundant number, since it is smaller than the sum of its proper divisors (832705880).

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

411454120 is a wasteful number, since it uses less digits than its factorization.

411454120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 411454120 is about 20284.3318844866. The cubic root of 411454120 is about 743.7731078667.

The spelling of 411454120 in words is "four hundred eleven million, four hundred fifty-four thousand, one hundred twenty".