508224640 has 128 divisors (see below), whose sum is σ = 1514920320. Its totient is φ = 158392320.

The previous prime is 508224601. The next prime is 508224649. The reversal of 508224640 is 46422805.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (508224649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44124 + ... + 54436.

It is an arithmetic number, because the mean of its divisors is an integer number (11835315).

Almost surely, 2^508224640 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 508224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757460160).

508224640 is an abundant number, since it is smaller than the sum of its proper divisors (1006695680).

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

508224640 is a wasteful number, since it uses less digits than its factorization.

508224640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10350 (or 10338 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 508224640 is about 22543.8381825278. The cubic root of 508224640 is about 798.0288136865.

The spelling of 508224640 in words is "five hundred eight million, two hundred twenty-four thousand, six hundred forty".