490635040 has 72 divisors (see below), whose sum is σ = 1348391772. Its totient is φ = 168215040.

The previous prime is 490635029. The next prime is 490635049. The reversal of 490635040 is 40536094.

It can be written as a sum of positive squares in 2 ways, for example, as 451647504 + 38987536 = 21252^2 + 6244^2 .

It is a junction number, because it is equal to n+sod(n) for n = 490634993 and 490635011.

It is not an unprimeable number, because it can be changed into a prime (490635049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23451 + ... + 39130.

Almost surely, 2^490635040 is an apocalyptic number.

490635040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

490635040 is an abundant number, since it is smaller than the sum of its proper divisors (857756732).

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

490635040 is a wasteful number, since it uses less digits than its factorization.

490635040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62610 (or 62595 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 490635040 is about 22150.2830681687. The cubic root of 490635040 is about 788.7139466460.

It can be divided in two parts, 490 and 635040, that multiplied together give a square (311169600 = 17640²).

The spelling of 490635040 in words is "four hundred ninety million, six hundred thirty-five thousand, forty".