561204000 has 576 divisors, whose sum is σ = 2428538112. Its totient is φ = 119808000.

The previous prime is 561203977. The next prime is 561204011. The reversal of 561204000 is 402165.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4283935 + ... + 4284065.

It is an arithmetic number, because the mean of its divisors is an integer number (4216212).

Almost surely, 2^561204000 is an apocalyptic number.

561204000 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 561204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214269056).

561204000 is an abundant number, since it is smaller than the sum of its proper divisors (1867334112).

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

561204000 is a wasteful number, since it uses less digits than its factorization.

561204000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 561204000 is about 23689.7446166057. The cubic root of 561204000 is about 824.8473546787.

Adding to 561204000 its reverse (402165), we get a palindrome (561606165).

The spelling of 561204000 in words is "five hundred sixty-one million, two hundred four thousand".