524365952 has 128 divisors (see below), whose sum is σ = 1271246400. Its totient is φ = 212336640.

The previous prime is 524365909. The next prime is 524365957. The reversal of 524365952 is 259563425.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (524365957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 454208 + ... + 455360.

Almost surely, 2^524365952 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 524365952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635623200).

524365952 is an abundant number, since it is smaller than the sum of its proper divisors (746880448).

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

524365952 is a wasteful number, since it uses less digits than its factorization.

524365952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1202 counting only the distinct ones).

The product of its digits is 324000, while the sum is 41.

The square root of 524365952 is about 22899.0382330787. The cubic root of 524365952 is about 806.3894330731.

The spelling of 524365952 in words is "five hundred twenty-four million, three hundred sixty-five thousand, nine hundred fifty-two".