527831040 has 312 divisors, whose sum is σ = 1882488384. Its totient is φ = 126156800.

The previous prime is 527831027. The next prime is 527831041. The reversal of 527831040 is 40138725.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 527830989 and 527831007.

It is not an unprimeable number, because it can be changed into a prime (527831041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7434205 + ... + 7434275.

Almost surely, 2^527831040 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 527831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941244192).

527831040 is an abundant number, since it is smaller than the sum of its proper divisors (1354657344).

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

527831040 is a wasteful number, since it uses less digits than its factorization.

527831040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 527831040 is about 22974.5737718897. The cubic root of 527831040 is about 808.1617818063.

Adding to 527831040 its reverse (40138725), we get a palindrome (567969765).

The spelling of 527831040 in words is "five hundred twenty-seven million, eight hundred thirty-one thousand, forty".