527868900 has 252 divisors, whose sum is σ = 1852857972. Its totient is φ = 129703680.

The previous prime is 527868893. The next prime is 527868911. The reversal of 527868900 is 9868725.

It can be written as a sum of positive squares in 6 ways, for example, as 158306724 + 369562176 = 12582^2 + 19224^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 947422 + ... + 947978.

It is an arithmetic number, because the mean of its divisors is an integer number (7352611).

Almost surely, 2^527868900 is an apocalyptic number.

527868900 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 527868900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926428986).

527868900 is an abundant number, since it is smaller than the sum of its proper divisors (1324989072).

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

527868900 is a wasteful number, since it uses less digits than its factorization.

527868900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 527868900 is about 22975.3977114652. The cubic root of 527868900 is about 808.1811038186.

The spelling of 527868900 in words is "five hundred twenty-seven million, eight hundred sixty-eight thousand, nine hundred".