411557328 has 480 divisors, whose sum is σ = 1587398400. Its totient is φ = 99283968.

The previous prime is 411557297. The next prime is 411557339. The reversal of 411557328 is 823755114.

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

It is a junction number, because it is equal to n+sod(n) for n = 411557292 and 411557301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14191618 + ... + 14191646.

It is an arithmetic number, because the mean of its divisors is an integer number (3307080).

Almost surely, 2^411557328 is an apocalyptic number.

411557328 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 411557328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793699200).

411557328 is an abundant number, since it is smaller than the sum of its proper divisors (1175841072).

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

411557328 is a wasteful number, since it uses less digits than its factorization.

411557328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 73 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 411557328 is about 20286.8757574941. The cubic root of 411557328 is about 743.8352913226.

The spelling of 411557328 in words is "four hundred eleven million, five hundred fifty-seven thousand, three hundred twenty-eight".