527944032 has 432 divisors, whose sum is σ = 2016705600. Its totient is φ = 129185280.

The previous prime is 527944031. The next prime is 527944033. The reversal of 527944032 is 230449725.

527944032 is a `hidden beast` number, since 527 + 94 + 40 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (527944031) and next prime (527944033).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527944031) 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 71 ways as a sum of consecutive naturals, for example, 2949319 + ... + 2949497.

It is an arithmetic number, because the mean of its divisors is an integer number (4668300).

Almost surely, 2^527944032 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 527944032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008352800).

527944032 is an abundant number, since it is smaller than the sum of its proper divisors (1488761568).

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

527944032 is a wasteful number, since it uses less digits than its factorization.

527944032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 221 counting only the distinct ones).

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

The square root of 527944032 is about 22977.0327065964. The cubic root of 527944032 is about 808.2194450192.

The spelling of 527944032 in words is "five hundred twenty-seven million, nine hundred forty-four thousand, thirty-two".