527220000 has 360 divisors, whose sum is σ = 1957295340. Its totient is φ = 134400000.

The previous prime is 527219989. The next prime is 527220041. The reversal of 527220000 is 22725.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 242064 + 526977936 = 492^2 + 22956^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5219950 + ... + 5220050.

Almost surely, 2^527220000 is an apocalyptic number.

527220000 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 527220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978647670).

527220000 is an abundant number, since it is smaller than the sum of its proper divisors (1430075340).

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

527220000 is a wasteful number, since it uses less digits than its factorization.

527220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 527220000 is about 22961.2717417829. The cubic root of 527220000 is about 807.8498070670.

Adding to 527220000 its reverse (22725), we get a palindrome (527242725).

The spelling of 527220000 in words is "five hundred twenty-seven million, two hundred twenty thousand".