411301728 has 72 divisors (see below), whose sum is σ = 1181777688. Its totient is φ = 135677952.

The previous prime is 411301727. The next prime is 411301733. The reversal of 411301728 is 827103114.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×411301728² = 338338222911571968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411301727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20575 + ... + 35297.

It is an arithmetic number, because the mean of its divisors is an integer number (16413579).

Almost surely, 2^411301728 is an apocalyptic number.

411301728 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 411301728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590888844).

411301728 is an abundant number, since it is smaller than the sum of its proper divisors (770475960).

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

411301728 is a wasteful number, since it uses less digits than its factorization.

411301728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14836 (or 14825 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 411301728 is about 20280.5751397735. The cubic root of 411301728 is about 743.6812717322.

The spelling of 411301728 in words is "four hundred eleven million, three hundred one thousand, seven hundred twenty-eight".