526724352 has 216 divisors, whose sum is σ = 1894052160. Its totient is φ = 136765440.

The previous prime is 526724333. The next prime is 526724353. The reversal of 526724352 is 253427625.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (526724353) 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 23 ways as a sum of consecutive naturals, for example, 175924 + ... + 178892.

It is an arithmetic number, because the mean of its divisors is an integer number (8768760).

Almost surely, 2^526724352 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 526724352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947026080).

526724352 is an abundant number, since it is smaller than the sum of its proper divisors (1367327808).

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

526724352 is a wasteful number, since it uses less digits than its factorization.

526724352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3009 (or 2992 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 526724352 is about 22950.4760734936. The cubic root of 526724352 is about 807.5965701616.

It can be divided in two parts, 526724 and 352, that added together give a square (527076 = 726²).

The spelling of 526724352 in words is "five hundred twenty-six million, seven hundred twenty-four thousand, three hundred fifty-two".