410124960 has 576 divisors, whose sum is σ = 1754887680. Its totient is φ = 85155840.

The previous prime is 410124929. The next prime is 410124973. The reversal of 410124960 is 69421014.

410124960 is a `hidden beast` number, since 410 + 1 + 249 + 6 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6723330 + ... + 6723390.

It is an arithmetic number, because the mean of its divisors is an integer number (3046680).

Almost surely, 2^410124960 is an apocalyptic number.

410124960 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 410124960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877443840).

410124960 is an abundant number, since it is smaller than the sum of its proper divisors (1344762720).

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

410124960 is a wasteful number, since it uses less digits than its factorization.

410124960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 410124960 is about 20251.5421634995. The cubic root of 410124960 is about 742.9713498683.

Adding to 410124960 its reverse (69421014), we get a palindrome (479545974).

The spelling of 410124960 in words is "four hundred ten million, one hundred twenty-four thousand, nine hundred sixty".