411397728 has 144 divisors (see below), whose sum is σ = 1322637120. Its totient is φ = 111331584.

The previous prime is 411397691. The next prime is 411397729. The reversal of 411397728 is 827793114.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 411397728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411397729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87075 + ... + 91677.

It is an arithmetic number, because the mean of its divisors is an integer number (9184980).

Almost surely, 2^411397728 is an apocalyptic number.

411397728 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 411397728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661318560).

411397728 is an abundant number, since it is smaller than the sum of its proper divisors (911239392).

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

411397728 is a wasteful number, since it uses less digits than its factorization.

411397728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4649 (or 4634 counting only the distinct ones).

The product of its digits is 84672, while the sum is 42.

The square root of 411397728 is about 20282.9417984670. The cubic root of 411397728 is about 743.7391269460.

The spelling of 411397728 in words is "four hundred eleven million, three hundred ninety-seven thousand, seven hundred twenty-eight".