504758016 has 324 divisors, whose sum is σ = 1799349552. Its totient is φ = 135217152.

The previous prime is 504757997. The next prime is 504758017. The reversal of 504758016 is 610857405.

504758016 is a `hidden beast` number, since 504 + 75 + 80 + 1 + 6 = 666.

It is a super-3 number, since 3×504758016³ (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 not an unprimeable number, because it can be changed into a prime (504758017) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1919101 + ... + 1919363.

It is an arithmetic number, because the mean of its divisors is an integer number (5553548).

Almost surely, 2^504758016 is an apocalyptic number.

504758016 is a gapful number since it is divisible by the number (56) 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 504758016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899674776).

504758016 is an abundant number, since it is smaller than the sum of its proper divisors (1294591536).

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

504758016 is a wasteful number, since it uses less digits than its factorization.

504758016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 504758016 is about 22466.8203357752. The cubic root of 504758016 is about 796.2102085336.

The spelling of 504758016 in words is "five hundred four million, seven hundred fifty-eight thousand, sixteen".