555642000 has 120 divisors (see below), whose sum is σ = 1940735160. Its totient is φ = 148166400.

The previous prime is 555641971. The next prime is 555642007. The reversal of 555642000 is 246555.

It can be written as a sum of positive squares in 4 ways, for example, as 126157824 + 429484176 = 11232^2 + 20724^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (555642007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2566 + ... + 33434.

It is an arithmetic number, because the mean of its divisors is an integer number (16172793).

Almost surely, 2^555642000 is an apocalyptic number.

555642000 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 555642000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970367580).

555642000 is an abundant number, since it is smaller than the sum of its proper divisors (1385093160).

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

555642000 is a wasteful number, since it uses less digits than its factorization.

555642000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30898 (or 30879 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 555642000 is about 23572.0597318096. The cubic root of 555642000 is about 822.1133272987.

Adding to 555642000 its reverse (246555), we get a palindrome (555888555).

The spelling of 555642000 in words is "five hundred fifty-five million, six hundred forty-two thousand".