508478420 has 48 divisors (see below), whose sum is σ = 1099369488. Its totient is φ = 197406720.

The previous prime is 508478407. The next prime is 508478423. The reversal of 508478420 is 24874805.

It can be written as a sum of positive squares in 8 ways, for example, as 6091024 + 502387396 = 2468^2 + 22414^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (508478423) 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, 497510 + ... + 498530.

It is an arithmetic number, because the mean of its divisors is an integer number (22903531).

Almost surely, 2^508478420 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 508478420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549684744).

508478420 is an abundant number, since it is smaller than the sum of its proper divisors (590891068).

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

508478420 is a wasteful number, since it uses less digits than its factorization.

508478420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 38.

The square root of 508478420 is about 22549.4660690669. The cubic root of 508478420 is about 798.1616224459.

The spelling of 508478420 in words is "five hundred eight million, four hundred seventy-eight thousand, four hundred twenty".