410432560 has 80 divisors (see below), whose sum is σ = 991936512. Its totient is φ = 157766400.

The previous prime is 410432543. The next prime is 410432651. The reversal of 410432560 is 65234014.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 413665 + ... + 414655.

Almost surely, 2^410432560 is an apocalyptic number.

410432560 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 410432560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495968256).

410432560 is an abundant number, since it is smaller than the sum of its proper divisors (581503952).

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

410432560 is a wasteful number, since it uses less digits than its factorization.

410432560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 410432560 is about 20259.1352233998. The cubic root of 410432560 is about 743.1570500798.

Adding to 410432560 its reverse (65234014), we get a palindrome (475666574).

The spelling of 410432560 in words is "four hundred ten million, four hundred thirty-two thousand, five hundred sixty".