527950800 has 360 divisors, whose sum is σ = 2046353400. Its totient is φ = 125153280.

The previous prime is 527950789. The next prime is 527950823. The reversal of 527950800 is 8059725.

527950800 is a `hidden beast` number, since 527 + 9 + 50 + 80 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 301508496 + 226442304 = 17364^2 + 15048^2 .

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1357006 + ... + 1357394.

It is an arithmetic number, because the mean of its divisors is an integer number (5684315).

Almost surely, 2^527950800 is an apocalyptic number.

527950800 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 527950800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023176700).

527950800 is an abundant number, since it is smaller than the sum of its proper divisors (1518402600).

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

527950800 is a wasteful number, since it uses less digits than its factorization.

527950800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 527950800 is about 22977.1799836272. The cubic root of 527950800 is about 808.2228986718. Note that the first 3 decimals are identical.

The spelling of 527950800 in words is "five hundred twenty-seven million, nine hundred fifty thousand, eight hundred".