508386240 has 224 divisors, whose sum is σ = 1856232000. Its totient is φ = 130830336.

The previous prime is 508386223. The next prime is 508386247. The reversal of 508386240 is 42683805.

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

It is a junction number, because it is equal to n+sod(n) for n = 508386195 and 508386204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (508386247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249546 + ... + 251574.

It is an arithmetic number, because the mean of its divisors is an integer number (8286750).

Almost surely, 2^508386240 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 508386240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928116000).

508386240 is an abundant number, since it is smaller than the sum of its proper divisors (1347845760).

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

508386240 is a wasteful number, since it uses less digits than its factorization.

508386240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084 (or 2068 counting only the distinct ones).

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

The square root of 508386240 is about 22547.4220255886. The cubic root of 508386240 is about 798.1133876983.

The spelling of 508386240 in words is "five hundred eight million, three hundred eighty-six thousand, two hundred forty".