526305472 has 252 divisors, whose sum is σ = 1424924760. Its totient is φ = 191600640.

The previous prime is 526305443. The next prime is 526305473. The reversal of 526305472 is 274503625.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (526305473) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7209628 + ... + 7209700.

Almost surely, 2^526305472 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 526305472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712462380).

526305472 is an abundant number, since it is smaller than the sum of its proper divisors (898619288).

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

526305472 is a wasteful number, since it uses less digits than its factorization.

526305472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 34.

The square root of 526305472 is about 22941.3485218284. The cubic root of 526305472 is about 807.3824317391.

The spelling of 526305472 in words is "five hundred twenty-six million, three hundred five thousand, four hundred seventy-two".