490418640 has 60 divisors (see below), whose sum is σ = 1646991684. Its totient is φ = 130778112.

The previous prime is 490418629. The next prime is 490418641. The reversal of 490418640 is 46814094.

It is a happy number.

490418640 is a `hidden beast` number, since 4 + 9 + 0 + 4 + 1 + 8 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 232623504 + 257795136 = 15252^2 + 16056^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 490418595 and 490418604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490418641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 339849 + ... + 341288.

Almost surely, 2^490418640 is an apocalyptic number.

490418640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

490418640 is an abundant number, since it is smaller than the sum of its proper divisors (1156573044).

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

490418640 is a wasteful number, since it uses less digits than its factorization.

490418640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681156 (or 681147 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 490418640 is about 22145.3977160041. The cubic root of 490418640 is about 788.5979725965.

The spelling of 490418640 in words is "four hundred ninety million, four hundred eighteen thousand, six hundred forty".