413524524 has 144 divisors (see below), whose sum is σ = 1218641760. Its totient is φ = 108380160.

The previous prime is 413524513. The next prime is 413524537. The reversal of 413524524 is 425425314.

It is a junction number, because it is equal to n+sod(n) for n = 413524491 and 413524500.

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 47 ways as a sum of consecutive naturals, for example, 409332 + ... + 410340.

It is an arithmetic number, because the mean of its divisors is an integer number (8462790).

Almost surely, 2^413524524 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 413524524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609320880).

413524524 is an abundant number, since it is smaller than the sum of its proper divisors (805117236).

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

413524524 is a wasteful number, since it uses less digits than its factorization.

413524524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1079 counting only the distinct ones).

The product of its digits is 19200, while the sum is 30.

The square root of 413524524 is about 20335.3024073900. The cubic root of 413524524 is about 745.0185566598.

Adding to 413524524 its reverse (425425314), we get a palindrome (838949838).

The spelling of 413524524 in words is "four hundred thirteen million, five hundred twenty-four thousand, five hundred twenty-four".