527801040 has 480 divisors, whose sum is σ = 2105865216. Its totient is φ = 117227520.

The previous prime is 527801039. The next prime is 527801047. The reversal of 527801040 is 40108725.

527801040 = T₄₀₉ + T₄₁₀ + ... + T₁₄₇₈.

It is a junction number, because it is equal to n+sod(n) for n = 527800995 and 527801013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527801047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4932667 + ... + 4932773.

Almost surely, 2^527801040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 527801040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052932608).

527801040 is an abundant number, since it is smaller than the sum of its proper divisors (1578064176).

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

527801040 is a wasteful number, since it uses less digits than its factorization.

527801040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 527801040 is about 22973.9208669308. The cubic root of 527801040 is about 808.1464705223.

Adding to 527801040 its reverse (40108725), we get a palindrome (567909765).

The spelling of 527801040 in words is "five hundred twenty-seven million, eight hundred one thousand, forty".