490135968 has 96 divisors (see below), whose sum is σ = 1633806720. Its totient is φ = 140037120.

The previous prime is 490135963. The next prime is 490135979. The reversal of 490135968 is 869531094.

It is a happy number.

490135968 is a `hidden beast` number, since 49 + 0 + 13 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (490135963) 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, 34473 + ... + 46568.

It is an arithmetic number, because the mean of its divisors is an integer number (17018820).

Almost surely, 2^490135968 is an apocalyptic number.

490135968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

490135968 is an abundant number, since it is smaller than the sum of its proper divisors (1143670752).

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

490135968 is a wasteful number, since it uses less digits than its factorization.

490135968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81067 (or 81053 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 490135968 is about 22139.0146122180. The cubic root of 490135968 is about 788.4464303628.

The spelling of 490135968 in words is "four hundred ninety million, one hundred thirty-five thousand, nine hundred sixty-eight".