524729952 has 72 divisors (see below), whose sum is σ = 1517541480. Its totient is φ = 171939840.

The previous prime is 524729941. The next prime is 524729957. The reversal of 524729952 is 259927425.

524729952 is a `hidden beast` number, since 524 + 72 + 9 + 9 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 524729898 and 524729907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (524729957) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1552 + ... + 32432.

It is an arithmetic number, because the mean of its divisors is an integer number (21076965).

Almost surely, 2^524729952 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 524729952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758770740).

524729952 is an abundant number, since it is smaller than the sum of its proper divisors (992811528).

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

524729952 is a wasteful number, since it uses less digits than its factorization.

524729952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30956 (or 30945 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 524729952 is about 22906.9847863048. The cubic root of 524729952 is about 806.5759808200.

The spelling of 524729952 in words is "five hundred twenty-four million, seven hundred twenty-nine thousand, nine hundred fifty-two".