568238400 has 126 divisors (see below), whose sum is σ = 2019704622. Its totient is φ = 151526400.

The previous prime is 568238399. The next prime is 568238443. The reversal of 568238400 is 4832865.

It can be written as a sum of positive squares in 3 ways, for example, as 12787776 + 555450624 = 3576^2 + 23568^2 .

It is a super-3 number, since 3×568238400³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5331 + ... + 34130.

Almost surely, 2^568238400 is an apocalyptic number.

568238400 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 568238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009852311).

568238400 is an abundant number, since it is smaller than the sum of its proper divisors (1451466222).

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

568238400 is a wasteful number, since it uses less digits than its factorization.

568238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39489 (or 39471 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 568238400 is about 23837.7515718241. The cubic root of 568238400 is about 828.2793988133.

The spelling of 568238400 in words is "five hundred sixty-eight million, two hundred thirty-eight thousand, four hundred".