411053760 has 168 divisors, whose sum is σ = 1522750320. Its totient is φ = 101173248.

The previous prime is 411053717. The next prime is 411053779. The reversal of 411053760 is 67350114.

It is a super-2 number, since 2×411053760² = 337930387220275200, which contains 22 as substring.

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, 31951 + ... + 42929.

It is an arithmetic number, because the mean of its divisors is an integer number (9063990).

Almost surely, 2^411053760 is an apocalyptic number.

411053760 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 411053760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761375160).

411053760 is an abundant number, since it is smaller than the sum of its proper divisors (1111696560).

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

411053760 is a wasteful number, since it uses less digits than its factorization.

411053760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11015 (or 11002 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 411053760 is about 20274.4607819789. The cubic root of 411053760 is about 743.5317900446.

The spelling of 411053760 in words is "four hundred eleven million, fifty-three thousand, seven hundred sixty".