411704160 has 192 divisors, whose sum is σ = 1560384000. Its totient is φ = 89137152.

The previous prime is 411704131. The next prime is 411704197. The reversal of 411704160 is 61407114.

It is a super-2 number, since 2×411704160² = 339000630722611200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 411704160.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60616 + ... + 67064.

It is an arithmetic number, because the mean of its divisors is an integer number (8127000).

Almost surely, 2^411704160 is an apocalyptic number.

411704160 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 411704160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780192000).

411704160 is an abundant number, since it is smaller than the sum of its proper divisors (1148679840).

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

411704160 is a wasteful number, since it uses less digits than its factorization.

411704160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6493 (or 6485 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 411704160 is about 20290.4943261617. The cubic root of 411704160 is about 743.9237405940.

The spelling of 411704160 in words is "four hundred eleven million, seven hundred four thousand, one hundred sixty".