411816960 has 264 divisors, whose sum is σ = 1484255136. Its totient is φ = 109486080.

The previous prime is 411816953. The next prime is 411817009. The reversal of 411816960 is 69618114.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1243995 + ... + 1244325.

Almost surely, 2^411816960 is an apocalyptic number.

411816960 is a gapful number since it is divisible by the number (40) 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 411816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742127568).

411816960 is an abundant number, since it is smaller than the sum of its proper divisors (1072438176).

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

411816960 is an equidigital number, since it uses as much as digits as its factorization.

411816960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 411816960 is about 20293.2737625056. The cubic root of 411816960 is about 743.9916752450.

The spelling of 411816960 in words is "four hundred eleven million, eight hundred sixteen thousand, nine hundred sixty".