526280000 has 140 divisors (see below), whose sum is σ = 1333073280. Its totient is φ = 206016000.

The previous prime is 526279987. The next prime is 526280003. The reversal of 526280000 is 82625.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (526280003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2359889 + ... + 2360111.

It is an arithmetic number, because the mean of its divisors is an integer number (9521952).

Almost surely, 2^526280000 is an apocalyptic number.

526280000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 526280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666536640).

526280000 is an abundant number, since it is smaller than the sum of its proper divisors (806793280).

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

526280000 is an equidigital number, since it uses as much as digits as its factorization.

526280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 526280000 is about 22940.7933603003. The cubic root of 526280000 is about 807.3694063650.

The spelling of 526280000 in words is "five hundred twenty-six million, two hundred eighty thousand".