524870016 has 128 divisors (see below), whose sum is σ = 1533720960. Its totient is φ = 157716480.

The previous prime is 524870011. The next prime is 524870023. The reversal of 524870016 is 610078425.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (524870011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 578235 + ... + 579141.

It is an arithmetic number, because the mean of its divisors is an integer number (11982195).

Almost surely, 2^524870016 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 524870016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766860480).

524870016 is an abundant number, since it is smaller than the sum of its proper divisors (1008850944).

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

524870016 is a wasteful number, since it uses less digits than its factorization.

524870016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 524870016 is about 22910.0418157628. The cubic root of 524870016 is about 806.6477397680.

It can be divided in two parts, 524 and 870016, that added together give a triangular number (870540 = T₁₃₁₉).

The spelling of 524870016 in words is "five hundred twenty-four million, eight hundred seventy thousand, sixteen".