508083840 has 432 divisors, whose sum is σ = 2002545090. Its totient is φ = 123171840.

The previous prime is 508083827. The next prime is 508083853. The reversal of 508083840 is 48380805.

It is an interprime number because it is at equal distance from previous prime (508083827) and next prime (508083853).

It can be written as a sum of positive squares in only one way, i.e., 457275456 + 50808384 = 21384^2 + 7128^2 .

It is a tau number, because it is divible by the number of its divisors (432).

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 = 508083795 and 508083804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 46189435 + ... + 46189445.

Almost surely, 2^508083840 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 508083840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001272545).

508083840 is an abundant number, since it is smaller than the sum of its proper divisors (1494461250).

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

508083840 is an frugal number, since it uses more digits than its factorization.

508083840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 508083840 is about 22540.7151616802. The cubic root of 508083840 is about 797.9551108222.

The spelling of 508083840 in words is "five hundred eight million, eighty-three thousand, eight hundred forty".