411369504 has 288 divisors, whose sum is σ = 1401321600. Its totient is φ = 104993280.

The previous prime is 411369493. The next prime is 411369509. The reversal of 411369504 is 405963114.

It is a super-3 number, since 3×411369504³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411369509) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13269969 + ... + 13269999.

It is an arithmetic number, because the mean of its divisors is an integer number (4865700).

Almost surely, 2^411369504 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 411369504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700660800).

411369504 is an abundant number, since it is smaller than the sum of its proper divisors (989952096).

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

411369504 is a wasteful number, since it uses less digits than its factorization.

411369504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 411369504 is about 20282.2460294712. The cubic root of 411369504 is about 743.7221184473.

The spelling of 411369504 in words is "four hundred eleven million, three hundred sixty-nine thousand, five hundred four".