508742442 has 192 divisors, whose sum is σ = 1358622720. Its totient is φ = 135862272.

The previous prime is 508742431. The next prime is 508742467. The reversal of 508742442 is 244247805.

It is a junction number, because it is equal to n+sod(n) for n = 508742397 and 508742406.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4005783 + ... + 4005909.

It is an arithmetic number, because the mean of its divisors is an integer number (7076160).

Almost surely, 2^508742442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 508742442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679311360).

508742442 is an abundant number, since it is smaller than the sum of its proper divisors (849880278).

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

508742442 is a wasteful number, since it uses less digits than its factorization.

508742442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 508742442 is about 22555.3195942775. The cubic root of 508742442 is about 798.2997441810.

The spelling of 508742442 in words is "five hundred eight million, seven hundred forty-two thousand, four hundred forty-two".