524680416 has 240 divisors, whose sum is σ = 1736580384. Its totient is φ = 154192896.

The previous prime is 524680391. The next prime is 524680427. The reversal of 524680416 is 614086425.

It is a super-3 number, since 3×524680416³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 774670 + ... + 775346.

Almost surely, 2^524680416 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 524680416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868290192).

524680416 is an abundant number, since it is smaller than the sum of its proper divisors (1211899968).

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

524680416 is a wasteful number, since it uses less digits than its factorization.

524680416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 524680416 is about 22905.9035185255. The cubic root of 524680416 is about 806.5505989990.

The spelling of 524680416 in words is "five hundred twenty-four million, six hundred eighty thousand, four hundred sixteen".