502087680 has 240 divisors, whose sum is σ = 1793010240. Its totient is φ = 133300224.

The previous prime is 502087679. The next prime is 502087697. The reversal of 502087680 is 86780205.

502087680 is a `hidden beast` number, since 502 + 0 + 8 + 76 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2211727 + ... + 2211953.

It is an arithmetic number, because the mean of its divisors is an integer number (7470876).

Almost surely, 2^502087680 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 502087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896505120).

502087680 is an abundant number, since it is smaller than the sum of its proper divisors (1290922560).

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

502087680 is an equidigital number, since it uses as much as digits as its factorization.

502087680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 502087680 is about 22407.3130919350. The cubic root of 502087680 is about 794.8036538964.

The spelling of 502087680 in words is "five hundred two million, eighty-seven thousand, six hundred eighty".