411364560 has 80 divisors (see below), whose sum is σ = 1279489536. Its totient is φ = 109330944.

The previous prime is 411364549. The next prime is 411364561. The reversal of 411364560 is 65463114.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411364561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73377 + ... + 78783.

Almost surely, 2^411364560 is an apocalyptic number.

411364560 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 411364560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639744768).

411364560 is an abundant number, since it is smaller than the sum of its proper divisors (868124976).

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

411364560 is a wasteful number, since it uses less digits than its factorization.

411364560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5740 (or 5734 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 411364560 is about 20282.1241491122. The cubic root of 411364560 is about 743.7191389873.

The spelling of 411364560 in words is "four hundred eleven million, three hundred sixty-four thousand, five hundred sixty".