525417984 has 360 divisors, whose sum is σ = 1910268360. Its totient is φ = 137797632.

The previous prime is 525417983. The next prime is 525418037. The reversal of 525417984 is 489714525.

525417984 is a `hidden beast` number, since 525 + 41 + 7 + 9 + 84 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (525417983) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 2935207 + ... + 2935385.

It is an arithmetic number, because the mean of its divisors is an integer number (5306301).

Almost surely, 2^525417984 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 525417984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955134180).

525417984 is an abundant number, since it is smaller than the sum of its proper divisors (1384850376).

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

525417984 is a wasteful number, since it uses less digits than its factorization.

525417984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 204 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 525417984 is about 22921.9978186894. The cubic root of 525417984 is about 806.9283574456.

The spelling of 525417984 in words is "five hundred twenty-five million, four hundred seventeen thousand, nine hundred eighty-four".