508606720 has 72 divisors (see below), whose sum is σ = 1225063224. Its totient is φ = 202309632.

The previous prime is 508606717. The next prime is 508606723. The reversal of 508606720 is 27606805.

It is an interprime number because it is at equal distance from previous prime (508606717) and next prime (508606723).

It can be written as a sum of positive squares in 4 ways, for example, as 279023616 + 229583104 = 16704^2 + 15152^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (508606723) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 251152 + ... + 253168.

It is an arithmetic number, because the mean of its divisors is an integer number (17014767).

Almost surely, 2^508606720 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 508606720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612531612).

508606720 is an abundant number, since it is smaller than the sum of its proper divisors (716456504).

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

508606720 is a wasteful number, since it uses less digits than its factorization.

508606720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235 (or 2221 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 508606720 is about 22552.3107463515. The cubic root of 508606720 is about 798.2287478934.

The spelling of 508606720 in words is "five hundred eight million, six hundred six thousand, seven hundred twenty".