526469328 has 640 divisors, whose sum is σ = 2142720000. Its totient is φ = 121927680.

The previous prime is 526469297. The next prime is 526469329. The reversal of 526469328 is 823964625.

526469328 is a `hidden beast` number, since 5 + 264 + 69 + 328 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (526469329) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 27708903 + ... + 27708921.

It is an arithmetic number, because the mean of its divisors is an integer number (3348000).

Almost surely, 2^526469328 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 526469328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071360000).

526469328 is an abundant number, since it is smaller than the sum of its proper divisors (1616250672).

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

526469328 is a wasteful number, since it uses less digits than its factorization.

526469328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 59 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 526469328 is about 22944.9194376446. The cubic root of 526469328 is about 807.4662111765.

The spelling of 526469328 in words is "five hundred twenty-six million, four hundred sixty-nine thousand, three hundred twenty-eight".