509242000 has 80 divisors (see below), whose sum is σ = 1244031984. Its totient is φ = 201600000.

The previous prime is 509241983. The next prime is 509242003. The reversal of 509242000 is 242905.

It is a happy number.

509242000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 206899456 + 302342544 = 14384^2 + 17388^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (509242003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200740 + ... + 203260.

Almost surely, 2^509242000 is an apocalyptic number.

509242000 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 509242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622015992).

509242000 is an abundant number, since it is smaller than the sum of its proper divisors (734789984).

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

509242000 is a wasteful number, since it uses less digits than its factorization.

509242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2645 (or 2629 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 509242000 is about 22566.3909387390. The cubic root of 509242000 is about 798.5609546544.

Adding to 509242000 its reverse (242905), we get a palindrome (509484905).

The spelling of 509242000 in words is "five hundred nine million, two hundred forty-two thousand".