490762080 has 288 divisors, whose sum is σ = 1759762368. Its totient is φ = 124416000.

The previous prime is 490762079. The next prime is 490762093. The reversal of 490762080 is 80267094.

490762080 is a `hidden beast` number, since 490 + 76 + 20 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3250005 + ... + 3250155.

It is an arithmetic number, because the mean of its divisors is an integer number (6110286).

Almost surely, 2^490762080 is an apocalyptic number.

490762080 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 490762080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879881184).

490762080 is an abundant number, since it is smaller than the sum of its proper divisors (1269000288).

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

490762080 is a wasteful number, since it uses less digits than its factorization.

490762080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 490762080 is about 22153.1505660030. The cubic root of 490762080 is about 788.7820146020.

The spelling of 490762080 in words is "four hundred ninety million, seven hundred sixty-two thousand, eighty".