524405952 has 168 divisors, whose sum is σ = 1739652096. Its totient is φ = 147930624.

The previous prime is 524405899. The next prime is 524405963. The reversal of 524405952 is 259504425.

524405952 is a `hidden beast` number, since 5 + 24 + 40 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 333873 + ... + 335439.

It is an arithmetic number, because the mean of its divisors is an integer number (10355072).

Almost surely, 2^524405952 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 524405952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869826048).

524405952 is an abundant number, since it is smaller than the sum of its proper divisors (1215246144).

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

524405952 is a wasteful number, since it uses less digits than its factorization.

524405952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 524405952 is about 22899.9116155500. The cubic root of 524405952 is about 806.4099370469.

The spelling of 524405952 in words is "five hundred twenty-four million, four hundred five thousand, nine hundred fifty-two".