436130560 has 144 divisors (see below), whose sum is σ = 1118476800. Its totient is φ = 162459648.

The previous prime is 436130557. The next prime is 436130561. The reversal of 436130560 is 65031634.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (436130561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1921167 + ... + 1921393.

It is an arithmetic number, because the mean of its divisors is an integer number (7767200).

Almost surely, 2^436130560 is an apocalyptic number.

436130560 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 436130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559238400).

436130560 is an abundant number, since it is smaller than the sum of its proper divisors (682346240).

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

436130560 is a wasteful number, since it uses less digits than its factorization.

436130560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 436130560 is about 20883.7391288055. The cubic root of 436130560 is about 758.3543338654.

The spelling of 436130560 in words is "four hundred thirty-six million, one hundred thirty thousand, five hundred sixty".