524406304 has 48 divisors (see below), whose sum is σ = 1082796120. Its totient is φ = 249661440.

The previous prime is 524406299. The next prime is 524406341. The reversal of 524406304 is 403604425.

It can be written as a sum of positive squares in 4 ways, for example, as 402082704 + 122323600 = 20052^2 + 11060^2 .

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 7 ways as a sum of consecutive naturals, for example, 63874 + ... + 71614.

Almost surely, 2^524406304 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 524406304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541398060).

524406304 is an abundant number, since it is smaller than the sum of its proper divisors (558389816).

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

524406304 is a wasteful number, since it uses less digits than its factorization.

524406304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7853 (or 7845 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 524406304 is about 22899.9193011679. The cubic root of 524406304 is about 806.4101174772.

The spelling of 524406304 in words is "five hundred twenty-four million, four hundred six thousand, three hundred four".