508624272 has 240 divisors, whose sum is σ = 1649269440. Its totient is φ = 150667776.

The previous prime is 508624247. The next prime is 508624279. The reversal of 508624272 is 272426805.

508624272 is a `hidden beast` number, since 5 + 0 + 8 + 624 + 27 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (508624279) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1465603 + ... + 1465949.

It is an arithmetic number, because the mean of its divisors is an integer number (6871956).

Almost surely, 2^508624272 is an apocalyptic number.

508624272 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 508624272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824634720).

508624272 is an abundant number, since it is smaller than the sum of its proper divisors (1140645168).

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

508624272 is a wasteful number, since it uses less digits than its factorization.

508624272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 508624272 is about 22552.6998827191. The cubic root of 508624272 is about 798.2379300698.

The spelling of 508624272 in words is "five hundred eight million, six hundred twenty-four thousand, two hundred seventy-two".