523260672 has 144 divisors (see below), whose sum is σ = 1585882368. Its totient is φ = 151613440.

The previous prime is 523260671. The next prime is 523260691. The reversal of 523260672 is 276062325.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (523260671) 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 15 ways as a sum of consecutive naturals, for example, 192958 + ... + 195650.

It is an arithmetic number, because the mean of its divisors is an integer number (11013072).

Almost surely, 2^523260672 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 523260672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792941184).

523260672 is an abundant number, since it is smaller than the sum of its proper divisors (1062621696).

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

523260672 is a wasteful number, since it uses less digits than its factorization.

523260672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2746 (or 2732 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 523260672 is about 22874.8917374487. The cubic root of 523260672 is about 805.8224543099.

The spelling of 523260672 in words is "five hundred twenty-three million, two hundred sixty thousand, six hundred seventy-two".