410482560 has 128 divisors (see below), whose sum is σ = 1314086400. Its totient is φ = 108988416.

The previous prime is 410482549. The next prime is 410482573. The reversal of 410482560 is 65284014.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 842637 + ... + 843123.

It is an arithmetic number, because the mean of its divisors is an integer number (10266300).

Almost surely, 2^410482560 is an apocalyptic number.

410482560 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 410482560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657043200).

410482560 is an abundant number, since it is smaller than the sum of its proper divisors (903603840).

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

410482560 is a wasteful number, since it uses less digits than its factorization.

410482560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 410482560 is about 20260.3691970309. The cubic root of 410482560 is about 743.1872266523.

The spelling of 410482560 in words is "four hundred ten million, four hundred eighty-two thousand, five hundred sixty".