490617040 has 40 divisors (see below), whose sum is σ = 1171521000. Its totient is φ = 190941696.

The previous prime is 490617019. The next prime is 490617053. The reversal of 490617040 is 40716094.

It can be written as a sum of positive squares in 4 ways, for example, as 309337744 + 181279296 = 17588^2 + 13464^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 490616993 and 490617011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79915 + ... + 85834.

It is an arithmetic number, because the mean of its divisors is an integer number (29288025).

Almost surely, 2^490617040 is an apocalyptic number.

490617040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

490617040 is an abundant number, since it is smaller than the sum of its proper divisors (680903960).

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

490617040 is a wasteful number, since it uses less digits than its factorization.

490617040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165799 (or 165793 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 490617040 is about 22149.8767490928. The cubic root of 490617040 is about 788.7043013065.

The spelling of 490617040 in words is "four hundred ninety million, six hundred seventeen thousand, forty".