565438000 has 80 divisors (see below), whose sum is σ = 1373617440. Its totient is φ = 225120000.

The previous prime is 565437989. The next prime is 565438007. The reversal of 565438000 is 834565.

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

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (565438007) 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, 537475 + ... + 538525.

It is an arithmetic number, because the mean of its divisors is an integer number (17170218).

Almost surely, 2^565438000 is an apocalyptic number.

565438000 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 565438000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686808720).

565438000 is an abundant number, since it is smaller than the sum of its proper divisors (808179440).

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

565438000 is a wasteful number, since it uses less digits than its factorization.

565438000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 565438000 is about 23778.9402623414. The cubic root of 565438000 is about 826.9165116590.

The spelling of 565438000 in words is "five hundred sixty-five million, four hundred thirty-eight thousand".