566420400 has 810 divisors, whose sum is σ = 2606289660. Its totient is φ = 113218560.

The previous prime is 566420377. The next prime is 566420401. The reversal of 566420400 is 4024665.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (566420401) 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 161 ways as a sum of consecutive naturals, for example, 29811591 + ... + 29811609.

Almost surely, 2^566420400 is an apocalyptic number.

566420400 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 566420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303144830).

566420400 is an abundant number, since it is smaller than the sum of its proper divisors (2039869260).

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

566420400 is a wasteful number, since it uses less digits than its factorization.

566420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 566420400 is about 23799.5882317321. The cubic root of 566420400 is about 827.3951334026.

The spelling of 566420400 in words is "five hundred sixty-six million, four hundred twenty thousand, four hundred".