490416288 has 48 divisors (see below), whose sum is σ = 1299180960. Its totient is φ = 161968896.

The previous prime is 490416259. The next prime is 490416299. The reversal of 490416288 is 882614094.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12970 + ... + 33897.

It is an arithmetic number, because the mean of its divisors is an integer number (27066270).

Almost surely, 2^490416288 is an apocalyptic number.

490416288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

490416288 is an abundant number, since it is smaller than the sum of its proper divisors (808764672).

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

490416288 is a wasteful number, since it uses less digits than its factorization.

490416288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46989 (or 46981 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 490416288 is about 22145.3446123559. The cubic root of 490416288 is about 788.5967119148.

The spelling of 490416288 in words is "four hundred ninety million, four hundred sixteen thousand, two hundred eighty-eight".