565032000 has 224 divisors, whose sum is σ = 2010363264. Its totient is φ = 139008000.

The previous prime is 565031983. The next prime is 565032001. The reversal of 565032000 is 230565.

It is a super-2 number, since 2×565032000² = 638522322048000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (565032001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311095 + ... + 312905.

It is an arithmetic number, because the mean of its divisors is an integer number (8974836).

Almost surely, 2^565032000 is an apocalyptic number.

565032000 is a gapful number since it is divisible by the number (50) 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 565032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005181632).

565032000 is an abundant number, since it is smaller than the sum of its proper divisors (1445331264).

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

565032000 is a wasteful number, since it uses less digits than its factorization.

565032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 565032000 is about 23770.4017635378. The cubic root of 565032000 is about 826.7185480215.

Adding to 565032000 its reverse (230565), we get a palindrome (565262565).

The spelling of 565032000 in words is "five hundred sixty-five million, thirty-two thousand".