490689036288 has 576 divisors, whose sum is σ = 1635958069200. Its totient is φ = 140531466240.

The previous prime is 490689036283. The next prime is 490689036301. The reversal of 490689036288 is 882630986094.

490689036288 is a `hidden beast` number, since 490 + 6 + 8 + 9 + 0 + 3 + 62 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (490689036281) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1171095343 + ... + 1171095761.

Almost surely, 2^490689036288 is an apocalyptic number.

490689036288 is a gapful number since it is divisible by the number (48) 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 490689036288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817979034600).

490689036288 is an abundant number, since it is smaller than the sum of its proper divisors (1145269032912).

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

490689036288 is a wasteful number, since it uses less digits than its factorization.

490689036288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 490689036288 in words is "four hundred ninety billion, six hundred eighty-nine million, thirty-six thousand, two hundred eighty-eight".