490076160 has 384 divisors, whose sum is σ = 1868106240. Its totient is φ = 107347968.

The previous prime is 490076159. The next prime is 490076161. The reversal of 490076160 is 61670094.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (490076159) and next prime (490076161).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490076161) 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, 9246694 + ... + 9246746.

It is an arithmetic number, because the mean of its divisors is an integer number (4864860).

Almost surely, 2^490076160 is an apocalyptic number.

490076160 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 490076160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934053120).

490076160 is an abundant number, since it is smaller than the sum of its proper divisors (1378030080).

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

490076160 is a wasteful number, since it uses less digits than its factorization.

490076160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 490076160 is about 22137.6638333859. The cubic root of 490076160 is about 788.4143594510.

The spelling of 490076160 in words is "four hundred ninety million, seventy-six thousand, one hundred sixty".