490118160 has 240 divisors, whose sum is σ = 1852702848. Its totient is φ = 104632320.

The previous prime is 490118159. The next prime is 490118179. The reversal of 490118160 is 61811094.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 3741295 + ... + 3741425.

Almost surely, 2^490118160 is an apocalyptic number.

490118160 is a gapful number since it is divisible by the number (40) 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 490118160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926351424).

490118160 is an abundant number, since it is smaller than the sum of its proper divisors (1362584688).

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

490118160 is a wasteful number, since it uses less digits than its factorization.

490118160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 490118160 is about 22138.6124226429. The cubic root of 490118160 is about 788.4368814315.

The spelling of 490118160 in words is "four hundred ninety million, one hundred eighteen thousand, one hundred sixty".