523424000 has 144 divisors (see below), whose sum is σ = 1423408896. Its totient is φ = 190208000.

The previous prime is 523423997. The next prime is 523424009. The reversal of 523424000 is 424325.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (523424009) 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, 351257 + ... + 352743.

It is an arithmetic number, because the mean of its divisors is an integer number (9884784).

Almost surely, 2^523424000 is an apocalyptic number.

523424000 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 523424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711704448).

523424000 is an abundant number, since it is smaller than the sum of its proper divisors (899984896).

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

523424000 is a wasteful number, since it uses less digits than its factorization.

523424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 523424000 is about 22878.4614867346. The cubic root of 523424000 is about 805.9062874009.

Adding to 523424000 its reverse (424325), we get a palindrome (523848325).

The spelling of 523424000 in words is "five hundred twenty-three million, four hundred twenty-four thousand".