508086072 has 192 divisors, whose sum is σ = 1613364480. Its totient is φ = 142995456.

The previous prime is 508086067. The next prime is 508086083. The reversal of 508086072 is 270680805.

508086072 is a `hidden beast` number, since 508 + 0 + 86 + 0 + 72 = 666.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 588313 + ... + 589175.

It is an arithmetic number, because the mean of its divisors is an integer number (8402940).

Almost surely, 2^508086072 is an apocalyptic number.

508086072 is a gapful number since it is divisible by the number (52) 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 508086072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806682240).

508086072 is an abundant number, since it is smaller than the sum of its proper divisors (1105278408).

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

508086072 is a wasteful number, since it uses less digits than its factorization.

508086072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 935 counting only the distinct ones).

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

The square root of 508086072 is about 22540.7646720336. The cubic root of 508086072 is about 797.9562792863.

The spelling of 508086072 in words is "five hundred eight million, eighty-six thousand, seventy-two".