508495104 has 144 divisors (see below), whose sum is σ = 1619665600. Its totient is φ = 156432384.

The previous prime is 508495073. The next prime is 508495121. The reversal of 508495104 is 401594805.

508495104 is a `hidden beast` number, since 508 + 49 + 5 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 87027 + ... + 92685.

Almost surely, 2^508495104 is an apocalyptic number.

508495104 is a gapful number since it is divisible by the number (54) 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 508495104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809832800).

508495104 is an abundant number, since it is smaller than the sum of its proper divisors (1111170496).

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

508495104 is a wasteful number, since it uses less digits than its factorization.

508495104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5697 (or 5677 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 508495104 is about 22549.8360082729. The cubic root of 508495104 is about 798.1703520087.

The spelling of 508495104 in words is "five hundred eight million, four hundred ninety-five thousand, one hundred four".