508604096 has 224 divisors, whose sum is σ = 1437875712. Its totient is φ = 171786240.

The previous prime is 508604093. The next prime is 508604119. The reversal of 508604096 is 690406805.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (508604093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1088855 + ... + 1089321.

It is an arithmetic number, because the mean of its divisors is an integer number (6419088).

Almost surely, 2^508604096 is an apocalyptic number.

508604096 is a gapful number since it is divisible by the number (56) 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 508604096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718937856).

508604096 is an abundant number, since it is smaller than the sum of its proper divisors (929271616).

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

508604096 is a wasteful number, since it uses less digits than its factorization.

508604096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 508604096 is about 22552.2525704197. The cubic root of 508604096 is about 798.2273751524.

The spelling of 508604096 in words is "five hundred eight million, six hundred four thousand, ninety-six".