411256520 has 128 divisors (see below), whose sum is σ = 1043280000. Its totient is φ = 144986112.

The previous prime is 411256493. The next prime is 411256529. The reversal of 411256520 is 25652114.

411256520 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 411256520.

It is not an unprimeable number, because it can be changed into a prime (411256529) 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 31 ways as a sum of consecutive naturals, for example, 1795766 + ... + 1795994.

It is an arithmetic number, because the mean of its divisors is an integer number (8150625).

Almost surely, 2^411256520 is an apocalyptic number.

411256520 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 411256520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521640000).

411256520 is an abundant number, since it is smaller than the sum of its proper divisors (632023480).

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

411256520 is a wasteful number, since it uses less digits than its factorization.

411256520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 411256520 is about 20279.4605450934. The cubic root of 411256520 is about 743.6540236298.

The spelling of 411256520 in words is "four hundred eleven million, two hundred fifty-six thousand, five hundred twenty".