600400560 has 320 divisors, whose sum is σ = 2098151424. Its totient is φ = 141312000.

The previous prime is 600400531. The next prime is 600400561. The reversal of 600400560 is 65004006.

It is not an unprimeable number, because it can be changed into a prime (600400561) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5944510 + ... + 5944610.

Almost surely, 2^600400560 is an apocalyptic number.

600400560 is a gapful number since it is divisible by the number (60) 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 600400560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049075712).

600400560 is an abundant number, since it is smaller than the sum of its proper divisors (1497750864).

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

600400560 is a wasteful number, since it uses less digits than its factorization.

600400560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 600400560 is about 24503.0724604079. The cubic root of 600400560 is about 843.6203154320.

Adding to 600400560 its reverse (65004006), we get a palindrome (665404566).

The spelling of 600400560 in words is "six hundred million, four hundred thousand, five hundred sixty".