523314304 has 64 divisors (see below), whose sum is σ = 1070755200. Its totient is φ = 254679040.

The previous prime is 523314301. The next prime is 523314307. The reversal of 523314304 is 403413325.

It is an interprime number because it is at equal distance from previous prime (523314301) and next prime (523314307).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (523314301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 808509 + ... + 809155.

It is an arithmetic number, because the mean of its divisors is an integer number (16730550).

Almost surely, 2^523314304 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 523314304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535377600).

523314304 is an abundant number, since it is smaller than the sum of its proper divisors (547440896).

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

523314304 is an equidigital number, since it uses as much as digits as its factorization.

523314304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 523314304 is about 22876.0639971128. The cubic root of 523314304 is about 805.8499844975.

Adding to 523314304 its reverse (403413325), we get a palindrome (926727629).

The spelling of 523314304 in words is "five hundred twenty-three million, three hundred fourteen thousand, three hundred four".