526080000 has 240 divisors, whose sum is σ = 1765403640. Its totient is φ = 139264000.

The previous prime is 526079971. The next prime is 526080007. The reversal of 526080000 is 80625.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (526080007) 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 19 ways as a sum of consecutive naturals, for example, 3839932 + ... + 3840068.

Almost surely, 2^526080000 is an apocalyptic number.

526080000 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 526080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882701820).

526080000 is an abundant number, since it is smaller than the sum of its proper divisors (1239323640).

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

526080000 is an equidigital number, since it uses as much as digits as its factorization.

526080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 526080000 is about 22936.4338989303. The cubic root of 526080000 is about 807.2671196606.

The spelling of 526080000 in words is "five hundred twenty-six million, eighty thousand".