524772864 has 640 divisors, whose sum is σ = 2121292800. Its totient is φ = 123863040.

The previous prime is 524772823. The next prime is 524772869. The reversal of 524772864 is 468277425.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (524772869) 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 63 ways as a sum of consecutive naturals, for example, 18095602 + ... + 18095630.

It is an arithmetic number, because the mean of its divisors is an integer number (3314520).

Almost surely, 2^524772864 is an apocalyptic number.

524772864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 524772864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060646400).

524772864 is an abundant number, since it is smaller than the sum of its proper divisors (1596519936).

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

524772864 is a wasteful number, since it uses less digits than its factorization.

524772864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 69 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The square root of 524772864 is about 22907.9214246950. The cubic root of 524772864 is about 806.5979672690.

The spelling of 524772864 in words is "five hundred twenty-four million, seven hundred seventy-two thousand, eight hundred sixty-four".