523048320 has 128 divisors (see below), whose sum is σ = 1852524000. Its totient is φ = 139474944.

The previous prime is 523048319. The next prime is 523048349. The reversal of 523048320 is 23840325.

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 (27).

It is a congruent number.

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, 2146 + ... + 32414.

Almost surely, 2^523048320 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 523048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926262000).

523048320 is an abundant number, since it is smaller than the sum of its proper divisors (1329475680).

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

523048320 is a wasteful number, since it uses less digits than its factorization.

523048320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30297 (or 30279 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 523048320 is about 22870.2496706966. The cubic root of 523048320 is about 805.7134320627.

Adding to 523048320 its reverse (23840325), we get a palindrome (546888645).

The spelling of 523048320 in words is "five hundred twenty-three million, forty-eight thousand, three hundred twenty".