524066004 has 288 divisors, whose sum is σ = 1812545280. Its totient is φ = 127733760.

The previous prime is 524066003. The next prime is 524066009. The reversal of 524066004 is 400660425.

It is a happy number.

524066004 is a `hidden beast` number, since 52 + 4 + 0 + 6 + 600 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (524066003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1554924 + ... + 1555260.

It is an arithmetic number, because the mean of its divisors is an integer number (6293560).

Almost surely, 2^524066004 is an apocalyptic number.

524066004 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 524066004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906272640).

524066004 is an abundant number, since it is smaller than the sum of its proper divisors (1288479276).

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

524066004 is a wasteful number, since it uses less digits than its factorization.

524066004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 524066004 is about 22892.4879381862. The cubic root of 524066004 is about 806.2356466888.

The spelling of 524066004 in words is "five hundred twenty-four million, sixty-six thousand, four".