508858416 has 160 divisors (see below), whose sum is σ = 1687392000. Its totient is φ = 145105920.

The previous prime is 508858391. The next prime is 508858429. The reversal of 508858416 is 614858805.

508858416 is a `hidden beast` number, since 50 + 8 + 8 + 584 + 16 = 666.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 77635 + ... + 83933.

It is an arithmetic number, because the mean of its divisors is an integer number (10546200).

Almost surely, 2^508858416 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 508858416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843696000).

508858416 is an abundant number, since it is smaller than the sum of its proper divisors (1178533584).

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

508858416 is a wasteful number, since it uses less digits than its factorization.

508858416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6344 (or 6332 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The square root of 508858416 is about 22557.8903268901. The cubic root of 508858416 is about 798.3604002699.

It can be divided in two parts, 5088 and 58416, that added together give a square (63504 = 252²).

The spelling of 508858416 in words is "five hundred eight million, eight hundred fifty-eight thousand, four hundred sixteen".