567620400 has 240 divisors, whose sum is σ = 1898628480. Its totient is φ = 144844800.

The previous prime is 567620369. The next prime is 567620401. The reversal of 567620400 is 4026765.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (567620401) 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 47 ways as a sum of consecutive naturals, for example, 4083531 + ... + 4083669.

It is an arithmetic number, because the mean of its divisors is an integer number (7910952).

Almost surely, 2^567620400 is an apocalyptic number.

567620400 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 567620400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949314240).

567620400 is an abundant number, since it is smaller than the sum of its proper divisors (1331008080).

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

567620400 is a wasteful number, since it uses less digits than its factorization.

567620400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 567620400 is about 23824.7854135142. The cubic root of 567620400 is about 827.9790188154.

The spelling of 567620400 in words is "five hundred sixty-seven million, six hundred twenty thousand, four hundred".