523242000 has 240 divisors, whose sum is σ = 1874723760. Its totient is φ = 135936000.

The previous prime is 523241993. The next prime is 523242059. The reversal of 523242000 is 242325.

It can be written as a sum of positive squares in 8 ways, for example, as 412739856 + 110502144 = 20316^2 + 10512^2 .

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 (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 737646 + ... + 738354.

It is an arithmetic number, because the mean of its divisors is an integer number (7811349).

Almost surely, 2^523242000 is an apocalyptic number.

523242000 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 523242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937361880).

523242000 is an abundant number, since it is smaller than the sum of its proper divisors (1351481760).

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

523242000 is a wasteful number, since it uses less digits than its factorization.

523242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 523242000 is about 22874.4836007286. The cubic root of 523242000 is about 805.8128692238.

Adding to 523242000 its reverse (242325), we get a palindrome (523484325).

The spelling of 523242000 in words is "five hundred twenty-three million, two hundred forty-two thousand".