524493648 has 300 divisors, whose sum is σ = 1801569588. Its totient is φ = 142248960.

The previous prime is 524493637. The next prime is 524493649. The reversal of 524493648 is 846394425.

It can be written as a sum of positive squares in 2 ways, for example, as 233722944 + 290770704 = 15288^2 + 17052^2 .

Its product of digits (829440) is a multiple of the sum of its prime divisors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (524493649) 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 59 ways as a sum of consecutive naturals, for example, 12792508 + ... + 12792548.

Almost surely, 2^524493648 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 524493648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900784794).

524493648 is an abundant number, since it is smaller than the sum of its proper divisors (1277075940).

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

524493648 is a wasteful number, since it uses less digits than its factorization.

524493648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 90 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 524493648 is about 22901.8263027209. The cubic root of 524493648 is about 806.4548863105.

The spelling of 524493648 in words is "five hundred twenty-four million, four hundred ninety-three thousand, six hundred forty-eight".