526340000 has 60 divisors (see below), whose sum is σ = 1294924554. Its totient is φ = 210528000.

The previous prime is 526339999. The next prime is 526340011. The reversal of 526340000 is 43625.

It can be written as a sum of positive squares in 5 ways, for example, as 17205904 + 509134096 = 4148^2 + 22564^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6842 + ... + 33158.

Almost surely, 2^526340000 is an apocalyptic number.

526340000 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 526340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647462277).

526340000 is an abundant number, since it is smaller than the sum of its proper divisors (768584554).

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

526340000 is an equidigital number, since it uses as much as digits as its factorization.

526340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26347 (or 26324 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 526340000 is about 22942.1010371762. The cubic root of 526340000 is about 807.4000873229.

Adding to 526340000 its reverse (43625), we get a palindrome (526383625).

The spelling of 526340000 in words is "five hundred twenty-six million, three hundred forty thousand".