552601600 has 144 divisors (see below), whose sum is σ = 1407566160. Its totient is φ = 215040000.

The previous prime is 552601597. The next prime is 552601601. The reversal of 552601600 is 6106255.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (552601601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2201475 + ... + 2201725.

It is an arithmetic number, because the mean of its divisors is an integer number (9774765).

Almost surely, 2^552601600 is an apocalyptic number.

552601600 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 552601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703783080).

552601600 is an abundant number, since it is smaller than the sum of its proper divisors (854964560).

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

552601600 is a wasteful number, since it uses less digits than its factorization.

552601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 552601600 is about 23507.4796607378. The cubic root of 552601600 is about 820.6110852399.

Adding to 552601600 its reverse (6106255), we get a palindrome (558707855).

The spelling of 552601600 in words is "five hundred fifty-two million, six hundred one thousand, six hundred".