523144320 has 128 divisors (see below), whose sum is σ = 1689120000. Its totient is φ = 137699328.

The previous prime is 523144289. The next prime is 523144333. The reversal of 523144320 is 23441325.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149956 + ... + 153404.

It is an arithmetic number, because the mean of its divisors is an integer number (13196250).

Almost surely, 2^523144320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 523144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844560000).

523144320 is an abundant number, since it is smaller than the sum of its proper divisors (1165975680).

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

523144320 is a wasteful number, since it uses less digits than its factorization.

523144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3550 (or 3538 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 523144320 is about 22872.3483709041. The cubic root of 523144320 is about 805.7627224468.

Adding to 523144320 its reverse (23441325), we get a palindrome (546585645).

The spelling of 523144320 in words is "five hundred twenty-three million, one hundred forty-four thousand, three hundred twenty".