526952448 has 288 divisors, whose sum is σ = 1747811520. Its totient is φ = 151388160.

The previous prime is 526952443. The next prime is 526952449. The reversal of 526952448 is 844259625.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (526952443) 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 23 ways as a sum of consecutive naturals, for example, 4663240 + ... + 4663352.

It is an arithmetic number, because the mean of its divisors is an integer number (6068790).

Almost surely, 2^526952448 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 526952448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873905760).

526952448 is an abundant number, since it is smaller than the sum of its proper divisors (1220859072).

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

526952448 is a wasteful number, since it uses less digits than its factorization.

526952448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 152 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 526952448 is about 22955.4448443065. Note that the first 3 decimals coincide. The cubic root of 526952448 is about 807.7131288908.

The spelling of 526952448 in words is "five hundred twenty-six million, nine hundred fifty-two thousand, four hundred forty-eight".