527239440 has 360 divisors, whose sum is σ = 2194770240. Its totient is φ = 111062016.

The previous prime is 527239421. The next prime is 527239451. The reversal of 527239440 is 44932725.

527239440 is a `hidden beast` number, since 527 + 2 + 3 + 94 + 40 = 666.

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 junction number, because it is equal to n+sod(n) for n = 527239395 and 527239404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 851451 + ... + 852069.

It is an arithmetic number, because the mean of its divisors is an integer number (6096584).

Almost surely, 2^527239440 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 527239440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097385120).

527239440 is an abundant number, since it is smaller than the sum of its proper divisors (1667530800).

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

527239440 is a wasteful number, since it uses less digits than its factorization.

527239440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 527239440 is about 22961.6950593810. The cubic root of 527239440 is about 807.8597361335.

The spelling of 527239440 in words is "five hundred twenty-seven million, two hundred thirty-nine thousand, four hundred forty".