411327504 has 160 divisors (see below), whose sum is σ = 1420544000. Its totient is φ = 111321216.

The previous prime is 411327491. The next prime is 411327509. The reversal of 411327504 is 405723114.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (411327509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53877 + ... + 61035.

It is an arithmetic number, because the mean of its divisors is an integer number (8878400).

Almost surely, 2^411327504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411327504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710272000).

411327504 is an abundant number, since it is smaller than the sum of its proper divisors (1009216496).

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

411327504 is a wasteful number, since it uses less digits than its factorization.

411327504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7202 (or 7190 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 411327504 is about 20281.2106147537. The cubic root of 411327504 is about 743.6968067411.

The spelling of 411327504 in words is "four hundred eleven million, three hundred twenty-seven thousand, five hundred four".