523264000 has 224 divisors, whose sum is σ = 1513002816. Its totient is φ = 176947200.

The previous prime is 523263997. The next prime is 523264013. The reversal of 523264000 is 462325.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7167964 + ... + 7168036.

Almost surely, 2^523264000 is an apocalyptic number.

523264000 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 523264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756501408).

523264000 is an abundant number, since it is smaller than the sum of its proper divisors (989738816).

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

523264000 is an frugal number, since it uses more digits than its factorization.

523264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 523264000 is about 22874.9644808467. The cubic root of 523264000 is about 805.8241626818.

The spelling of 523264000 in words is "five hundred twenty-three million, two hundred sixty-four thousand".